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Finding the Third Proportional to 564,566,127 and 1,215,635,070

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Solution

The third proportional to 564,566,127 and 1,215,635,070 is: 2,617,529,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,566,127 : 1,215,635,070 = 1,215,635,070 : x
  2. Step 2: Convert to fraction form
    564,566,127/1,215,635,070 = 1,215,635,070/x
  3. Step 3: Cross multiply
    564,566,127x = 1,215,635,070 × 1,215,635,070
  4. Step 4: Simplify right side
    564,566,127x = 1,477,768,623,413,904,896
  5. Step 5: Solve for x
    x = 1,477,768,623,413,904,896/564,566,127
  6. Step 6: Final answer
    x = 2,617,529,732.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.