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Finding the Third Proportional to 6,475,101.19 and 9,354,631.78

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Solution

The third proportional to 6,475,101.19 and 9,354,631.78 is: 13,514,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,101.19 : 9,354,631.78 = 9,354,631.78 : x
  2. Step 2: Convert to fraction form
    6,475,101.19/9,354,631.78 = 9,354,631.78/x
  3. Step 3: Cross multiply
    6,475,101.19x = 9,354,631.78 × 9,354,631.78
  4. Step 4: Simplify right side
    6,475,101.19x = 87,509,135,762,772.55
  5. Step 5: Solve for x
    x = 87,509,135,762,772.55/6,475,101.19
  6. Step 6: Final answer
    x = 13,514,713.24

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.