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Finding the Third Proportional to 4,695,094.13 and 9,894,565.13

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Solution

The third proportional to 4,695,094.13 and 9,894,565.13 is: 20,852,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695,094.13 : 9,894,565.13 = 9,894,565.13 : x
  2. Step 2: Convert to fraction form
    4,695,094.13/9,894,565.13 = 9,894,565.13/x
  3. Step 3: Cross multiply
    4,695,094.13x = 9,894,565.13 × 9,894,565.13
  4. Step 4: Simplify right side
    4,695,094.13x = 97,902,419,012,866.27
  5. Step 5: Solve for x
    x = 97,902,419,012,866.27/4,695,094.13
  6. Step 6: Final answer
    x = 20,852,067.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.