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Finding the Third Proportional to 5,832,044 and 12,717,129

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Solution

The third proportional to 5,832,044 and 12,717,129 is: 27,730,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832,044 : 12,717,129 = 12,717,129 : x
  2. Step 2: Convert to fraction form
    5,832,044/12,717,129 = 12,717,129/x
  3. Step 3: Cross multiply
    5,832,044x = 12,717,129 × 12,717,129
  4. Step 4: Simplify right side
    5,832,044x = 161,725,370,002,641
  5. Step 5: Solve for x
    x = 161,725,370,002,641/5,832,044
  6. Step 6: Final answer
    x = 27,730,478.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.