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Finding the Third Proportional to 550,153,417.50 and 823,049,001.28

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Solution

The third proportional to 550,153,417.50 and 823,049,001.28 is: 1,231,310,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,153,417.50 : 823,049,001.28 = 823,049,001.28 : x
  2. Step 2: Convert to fraction form
    550,153,417.50/823,049,001.28 = 823,049,001.28/x
  3. Step 3: Cross multiply
    550,153,417.50x = 823,049,001.28 × 823,049,001.28
  4. Step 4: Simplify right side
    550,153,417.50x = 677,409,658,510,063,104
  5. Step 5: Solve for x
    x = 677,409,658,510,063,104/550,153,417.50
  6. Step 6: Final answer
    x = 1,231,310,461.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.