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Finding the Third Proportional to 243,471,459 and 495,445,947

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Solution

The third proportional to 243,471,459 and 495,445,947 is: 1,008,194,912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,471,459 : 495,445,947 = 495,445,947 : x
  2. Step 2: Convert to fraction form
    243,471,459/495,445,947 = 495,445,947/x
  3. Step 3: Cross multiply
    243,471,459x = 495,445,947 × 495,445,947
  4. Step 4: Simplify right side
    243,471,459x = 245,466,686,398,726,816
  5. Step 5: Solve for x
    x = 245,466,686,398,726,816/243,471,459
  6. Step 6: Final answer
    x = 1,008,194,912.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.