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Finding the Third Proportional to 1,142,137,971 and 1,541,012,283

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Solution

The third proportional to 1,142,137,971 and 1,541,012,283 is: 2,079,187,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,137,971 : 1,541,012,283 = 1,541,012,283 : x
  2. Step 2: Convert to fraction form
    1,142,137,971/1,541,012,283 = 1,541,012,283/x
  3. Step 3: Cross multiply
    1,142,137,971x = 1,541,012,283 × 1,541,012,283
  4. Step 4: Simplify right side
    1,142,137,971x = 2,374,718,856,356,872,192
  5. Step 5: Solve for x
    x = 2,374,718,856,356,872,192/1,142,137,971
  6. Step 6: Final answer
    x = 2,079,187,380.73

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Why These Related Problems?

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