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Finding the Third Proportional to 1,424,530,902 and 3,138,878,394

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Solution

The third proportional to 1,424,530,902 and 3,138,878,394 is: 6,916,352,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,530,902 : 3,138,878,394 = 3,138,878,394 : x
  2. Step 2: Convert to fraction form
    1,424,530,902/3,138,878,394 = 3,138,878,394/x
  3. Step 3: Cross multiply
    1,424,530,902x = 3,138,878,394 × 3,138,878,394
  4. Step 4: Simplify right side
    1,424,530,902x = 9,852,557,572,320,018,432
  5. Step 5: Solve for x
    x = 9,852,557,572,320,018,432/1,424,530,902
  6. Step 6: Final answer
    x = 6,916,352,294.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.