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Finding the Third Proportional to 724,178,812.50 and 1,564,128,688.50

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Solution

The third proportional to 724,178,812.50 and 1,564,128,688.50 is: 3,378,307,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,178,812.50 : 1,564,128,688.50 = 1,564,128,688.50 : x
  2. Step 2: Convert to fraction form
    724,178,812.50/1,564,128,688.50 = 1,564,128,688.50/x
  3. Step 3: Cross multiply
    724,178,812.50x = 1,564,128,688.50 × 1,564,128,688.50
  4. Step 4: Simplify right side
    724,178,812.50x = 2,446,498,554,188,729,856
  5. Step 5: Solve for x
    x = 2,446,498,554,188,729,856/724,178,812.50
  6. Step 6: Final answer
    x = 3,378,307,279.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.