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Finding the Third Proportional to 3,646,026.50 and 7,948,113

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Solution

The third proportional to 3,646,026.50 and 7,948,113 is: 17,326,396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646,026.50 : 7,948,113 = 7,948,113 : x
  2. Step 2: Convert to fraction form
    3,646,026.50/7,948,113 = 7,948,113/x
  3. Step 3: Cross multiply
    3,646,026.50x = 7,948,113 × 7,948,113
  4. Step 4: Simplify right side
    3,646,026.50x = 63,172,500,260,769
  5. Step 5: Solve for x
    x = 63,172,500,260,769/3,646,026.50
  6. Step 6: Final answer
    x = 17,326,396.36

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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.