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Finding the Third Proportional to 521,864,943.75 and 729,987,045.75

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Solution

The third proportional to 521,864,943.75 and 729,987,045.75 is: 1,021,109,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,864,943.75 : 729,987,045.75 = 729,987,045.75 : x
  2. Step 2: Convert to fraction form
    521,864,943.75/729,987,045.75 = 729,987,045.75/x
  3. Step 3: Cross multiply
    521,864,943.75x = 729,987,045.75 × 729,987,045.75
  4. Step 4: Simplify right side
    521,864,943.75x = 532,881,086,962,812,608
  5. Step 5: Solve for x
    x = 532,881,086,962,812,608/521,864,943.75
  6. Step 6: Final answer
    x = 1,021,109,184.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.