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Finding the Third Proportional to 514,133,076 and 783,246,744

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Solution

The third proportional to 514,133,076 and 783,246,744 is: 1,193,223,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,133,076 : 783,246,744 = 783,246,744 : x
  2. Step 2: Convert to fraction form
    514,133,076/783,246,744 = 783,246,744/x
  3. Step 3: Cross multiply
    514,133,076x = 783,246,744 × 783,246,744
  4. Step 4: Simplify right side
    514,133,076x = 613,475,461,986,601,472
  5. Step 5: Solve for x
    x = 613,475,461,986,601,472/514,133,076
  6. Step 6: Final answer
    x = 1,193,223,098.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.