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Finding the Third Proportional to 5,742,657 and 12,617,397

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Solution

The third proportional to 5,742,657 and 12,617,397 is: 27,722,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,657 : 12,617,397 = 12,617,397 : x
  2. Step 2: Convert to fraction form
    5,742,657/12,617,397 = 12,617,397/x
  3. Step 3: Cross multiply
    5,742,657x = 12,617,397 × 12,617,397
  4. Step 4: Simplify right side
    5,742,657x = 159,198,707,055,609
  5. Step 5: Solve for x
    x = 159,198,707,055,609/5,742,657
  6. Step 6: Final answer
    x = 27,722,134.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.