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Finding the Third Proportional to 6,834,827.25 and 9,614,041.88

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Solution

The third proportional to 6,834,827.25 and 9,614,041.88 is: 13,523,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834,827.25 : 9,614,041.88 = 9,614,041.88 : x
  2. Step 2: Convert to fraction form
    6,834,827.25/9,614,041.88 = 9,614,041.88/x
  3. Step 3: Cross multiply
    6,834,827.25x = 9,614,041.88 × 9,614,041.88
  4. Step 4: Simplify right side
    6,834,827.25x = 92,429,801,174,253.52
  5. Step 5: Solve for x
    x = 92,429,801,174,253.52/6,834,827.25
  6. Step 6: Final answer
    x = 13,523,355.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.