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Finding the Third Proportional to 709,424,935 and 1,657,536,830

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Solution

The third proportional to 709,424,935 and 1,657,536,830 is: 3,872,754,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,424,935 : 1,657,536,830 = 1,657,536,830 : x
  2. Step 2: Convert to fraction form
    709,424,935/1,657,536,830 = 1,657,536,830/x
  3. Step 3: Cross multiply
    709,424,935x = 1,657,536,830 × 1,657,536,830
  4. Step 4: Simplify right side
    709,424,935x = 2,747,428,342,806,449,152
  5. Step 5: Solve for x
    x = 2,747,428,342,806,449,152/709,424,935
  6. Step 6: Final answer
    x = 3,872,754,124.16

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