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Finding the Third Proportional to 4,136,003,000,698.50 and 9,051,138,304,490.20

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Solution

The third proportional to 4,136,003,000,698.50 and 9,051,138,304,490.20 is: 19,807,312,662,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136,003,000,698.50 : 9,051,138,304,490.20 = 9,051,138,304,490.20 : x
  2. Step 2: Convert to fraction form
    4,136,003,000,698.50/9,051,138,304,490.20 = 9,051,138,304,490.20/x
  3. Step 3: Cross multiply
    4,136,003,000,698.50x = 9,051,138,304,490.20 × 9,051,138,304,490.20
  4. Step 4: Simplify right side
    4,136,003,000,698.50x = 81,923,104,607,009,713,887,903,744
  5. Step 5: Solve for x
    x = 81,923,104,607,009,713,887,903,744/4,136,003,000,698.50
  6. Step 6: Final answer
    x = 19,807,312,662,291.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.