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Finding the Third Proportional to 23,385,018,350 and 48,009,747,537

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Solution

The third proportional to 23,385,018,350 and 48,009,747,537 is: 98,564,637,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,385,018,350 : 48,009,747,537 = 48,009,747,537 : x
  2. Step 2: Convert to fraction form
    23,385,018,350/48,009,747,537 = 48,009,747,537/x
  3. Step 3: Cross multiply
    23,385,018,350x = 48,009,747,537 × 48,009,747,537
  4. Step 4: Simplify right side
    23,385,018,350x = 2,304,935,858,566,477,643,776
  5. Step 5: Solve for x
    x = 2,304,935,858,566,477,643,776/23,385,018,350
  6. Step 6: Final answer
    x = 98,564,637,584.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.