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Finding the Third Proportional to 6,516,298.13 and 8,849,872.69

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Solution

The third proportional to 6,516,298.13 and 8,849,872.69 is: 12,019,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516,298.13 : 8,849,872.69 = 8,849,872.69 : x
  2. Step 2: Convert to fraction form
    6,516,298.13/8,849,872.69 = 8,849,872.69/x
  3. Step 3: Cross multiply
    6,516,298.13x = 8,849,872.69 × 8,849,872.69
  4. Step 4: Simplify right side
    6,516,298.13x = 78,320,246,584,958.47
  5. Step 5: Solve for x
    x = 78,320,246,584,958.47/6,516,298.13
  6. Step 6: Final answer
    x = 12,019,131.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.