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Finding the Third Proportional to 243,471,461 and 495,445,951

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Solution

The third proportional to 243,471,461 and 495,445,951 is: 1,008,194,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,471,461 : 495,445,951 = 495,445,951 : x
  2. Step 2: Convert to fraction form
    243,471,461/495,445,951 = 495,445,951/x
  3. Step 3: Cross multiply
    243,471,461x = 495,445,951 × 495,445,951
  4. Step 4: Simplify right side
    243,471,461x = 245,466,690,362,294,400
  5. Step 5: Solve for x
    x = 245,466,690,362,294,400/243,471,461
  6. Step 6: Final answer
    x = 1,008,194,920.89

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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.