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Finding the Third Proportional to 1,036,162,584 and 1,691,781,129

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Solution

The third proportional to 1,036,162,584 and 1,691,781,129 is: 2,762,233,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,162,584 : 1,691,781,129 = 1,691,781,129 : x
  2. Step 2: Convert to fraction form
    1,036,162,584/1,691,781,129 = 1,691,781,129/x
  3. Step 3: Cross multiply
    1,036,162,584x = 1,691,781,129 × 1,691,781,129
  4. Step 4: Simplify right side
    1,036,162,584x = 2,862,123,388,440,514,560
  5. Step 5: Solve for x
    x = 2,862,123,388,440,514,560/1,036,162,584
  6. Step 6: Final answer
    x = 2,762,233,873.95

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.