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Finding the Third Proportional to 6,283,748.81 and 9,608,385.38

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Solution

The third proportional to 6,283,748.81 and 9,608,385.38 is: 14,692,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,748.81 : 9,608,385.38 = 9,608,385.38 : x
  2. Step 2: Convert to fraction form
    6,283,748.81/9,608,385.38 = 9,608,385.38/x
  3. Step 3: Cross multiply
    6,283,748.81x = 9,608,385.38 × 9,608,385.38
  4. Step 4: Simplify right side
    6,283,748.81x = 92,321,069,514,513.89
  5. Step 5: Solve for x
    x = 92,321,069,514,513.89/6,283,748.81
  6. Step 6: Final answer
    x = 14,692,036.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.