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Finding the Third Proportional to 5,984,248.13 and 9,477,365.88

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Solution

The third proportional to 5,984,248.13 and 9,477,365.88 is: 15,009,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984,248.13 : 9,477,365.88 = 9,477,365.88 : x
  2. Step 2: Convert to fraction form
    5,984,248.13/9,477,365.88 = 9,477,365.88/x
  3. Step 3: Cross multiply
    5,984,248.13x = 9,477,365.88 × 9,477,365.88
  4. Step 4: Simplify right side
    5,984,248.13x = 89,820,463,928,614.52
  5. Step 5: Solve for x
    x = 89,820,463,928,614.52/5,984,248.13
  6. Step 6: Final answer
    x = 15,009,481.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.