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Finding the Third Proportional to 709,424,933 and 1,657,536,825

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Solution

The third proportional to 709,424,933 and 1,657,536,825 is: 3,872,754,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,424,933 : 1,657,536,825 = 1,657,536,825 : x
  2. Step 2: Convert to fraction form
    709,424,933/1,657,536,825 = 1,657,536,825/x
  3. Step 3: Cross multiply
    709,424,933x = 1,657,536,825 × 1,657,536,825
  4. Step 4: Simplify right side
    709,424,933x = 2,747,428,326,231,080,448
  5. Step 5: Solve for x
    x = 2,747,428,326,231,080,448/709,424,933
  6. Step 6: Final answer
    x = 3,872,754,111.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.