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Finding the Third Proportional to 6,495,126.24 and 9,080,568.70

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Solution

The third proportional to 6,495,126.24 and 9,080,568.70 is: 12,695,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495,126.24 : 9,080,568.70 = 9,080,568.70 : x
  2. Step 2: Convert to fraction form
    6,495,126.24/9,080,568.70 = 9,080,568.70/x
  3. Step 3: Cross multiply
    6,495,126.24x = 9,080,568.70 × 9,080,568.70
  4. Step 4: Simplify right side
    6,495,126.24x = 82,456,727,852,473.19
  5. Step 5: Solve for x
    x = 82,456,727,852,473.19/6,495,126.24
  6. Step 6: Final answer
    x = 12,695,169.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.