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Finding the Third Proportional to 563,942,772 and 862,123,068

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Solution

The third proportional to 563,942,772 and 862,123,068 is: 1,317,963,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,942,772 : 862,123,068 = 862,123,068 : x
  2. Step 2: Convert to fraction form
    563,942,772/862,123,068 = 862,123,068/x
  3. Step 3: Cross multiply
    563,942,772x = 862,123,068 × 862,123,068
  4. Step 4: Simplify right side
    563,942,772x = 743,256,184,377,732,608
  5. Step 5: Solve for x
    x = 743,256,184,377,732,608/563,942,772
  6. Step 6: Final answer
    x = 1,317,963,845.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.