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Finding the Third Proportional to 1,142,138,092 and 1,541,012,440

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Solution

The third proportional to 1,142,138,092 and 1,541,012,440 is: 2,079,187,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,138,092 : 1,541,012,440 = 1,541,012,440 : x
  2. Step 2: Convert to fraction form
    1,142,138,092/1,541,012,440 = 1,541,012,440/x
  3. Step 3: Cross multiply
    1,142,138,092x = 1,541,012,440 × 1,541,012,440
  4. Step 4: Simplify right side
    1,142,138,092x = 2,374,719,340,234,753,536
  5. Step 5: Solve for x
    x = 2,374,719,340,234,753,536/1,142,138,092
  6. Step 6: Final answer
    x = 2,079,187,584.12

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.