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Finding the Third Proportional to 5,692,397.13 and 12,293,675.65

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Solution

The third proportional to 5,692,397.13 and 12,293,675.65 is: 26,550,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,397.13 : 12,293,675.65 = 12,293,675.65 : x
  2. Step 2: Convert to fraction form
    5,692,397.13/12,293,675.65 = 12,293,675.65/x
  3. Step 3: Cross multiply
    5,692,397.13x = 12,293,675.65 × 12,293,675.65
  4. Step 4: Simplify right side
    5,692,397.13x = 151,134,460,948,997.47
  5. Step 5: Solve for x
    x = 151,134,460,948,997.47/5,692,397.13
  6. Step 6: Final answer
    x = 26,550,231.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.