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Finding the Third Proportional to 5,102,031.38 and 7,734,026.81

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Solution

The third proportional to 5,102,031.38 and 7,734,026.81 is: 11,723,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102,031.38 : 7,734,026.81 = 7,734,026.81 : x
  2. Step 2: Convert to fraction form
    5,102,031.38/7,734,026.81 = 7,734,026.81/x
  3. Step 3: Cross multiply
    5,102,031.38x = 7,734,026.81 × 7,734,026.81
  4. Step 4: Simplify right side
    5,102,031.38x = 59,815,170,736,468.91
  5. Step 5: Solve for x
    x = 59,815,170,736,468.91/5,102,031.38
  6. Step 6: Final answer
    x = 11,723,795.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.