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Finding the Third Proportional to 514,007,096 and 783,056,648

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Solution

The third proportional to 514,007,096 and 783,056,648 is: 1,192,936,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,007,096 : 783,056,648 = 783,056,648 : x
  2. Step 2: Convert to fraction form
    514,007,096/783,056,648 = 783,056,648/x
  3. Step 3: Cross multiply
    514,007,096x = 783,056,648 × 783,056,648
  4. Step 4: Simplify right side
    514,007,096x = 613,177,713,976,995,840
  5. Step 5: Solve for x
    x = 613,177,713,976,995,840/514,007,096
  6. Step 6: Final answer
    x = 1,192,936,281.91

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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.