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Finding the Third Proportional to 4,497,793.13 and 6,909,103.13

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Solution

The third proportional to 4,497,793.13 and 6,909,103.13 is: 10,613,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497,793.13 : 6,909,103.13 = 6,909,103.13 : x
  2. Step 2: Convert to fraction form
    4,497,793.13/6,909,103.13 = 6,909,103.13/x
  3. Step 3: Cross multiply
    4,497,793.13x = 6,909,103.13 × 6,909,103.13
  4. Step 4: Simplify right side
    4,497,793.13x = 47,735,705,991,884.77
  5. Step 5: Solve for x
    x = 47,735,705,991,884.77/4,497,793.13
  6. Step 6: Final answer
    x = 10,613,139.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.