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Finding the Third Proportional to 6,858,789 and 10,098,690.75

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Solution

The third proportional to 6,858,789 and 10,098,690.75 is: 14,869,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858,789 : 10,098,690.75 = 10,098,690.75 : x
  2. Step 2: Convert to fraction form
    6,858,789/10,098,690.75 = 10,098,690.75/x
  3. Step 3: Cross multiply
    6,858,789x = 10,098,690.75 × 10,098,690.75
  4. Step 4: Simplify right side
    6,858,789x = 101,983,554,864,135.56
  5. Step 5: Solve for x
    x = 101,983,554,864,135.56/6,858,789
  6. Step 6: Final answer
    x = 14,869,032.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.