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Finding the Third Proportional to 6,948,008.09 and 15,092,091.28

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Solution

The third proportional to 6,948,008.09 and 15,092,091.28 is: 32,782,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948,008.09 : 15,092,091.28 = 15,092,091.28 : x
  2. Step 2: Convert to fraction form
    6,948,008.09/15,092,091.28 = 15,092,091.28/x
  3. Step 3: Cross multiply
    6,948,008.09x = 15,092,091.28 × 15,092,091.28
  4. Step 4: Simplify right side
    6,948,008.09x = 227,771,219,241,582.28
  5. Step 5: Solve for x
    x = 227,771,219,241,582.28/6,948,008.09
  6. Step 6: Final answer
    x = 32,782,232.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.