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Finding the Third Proportional to 6,180,526.13 and 9,454,497.19

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Solution

The third proportional to 6,180,526.13 and 9,454,497.19 is: 14,462,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180,526.13 : 9,454,497.19 = 9,454,497.19 : x
  2. Step 2: Convert to fraction form
    6,180,526.13/9,454,497.19 = 9,454,497.19/x
  3. Step 3: Cross multiply
    6,180,526.13x = 9,454,497.19 × 9,454,497.19
  4. Step 4: Simplify right side
    6,180,526.13x = 89,387,517,068,445.41
  5. Step 5: Solve for x
    x = 89,387,517,068,445.41/6,180,526.13
  6. Step 6: Final answer
    x = 14,462,768.26

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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.