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Finding the Third Proportional to 6,103,756.69 and 9,442,543.78

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Solution

The third proportional to 6,103,756.69 and 9,442,543.78 is: 14,607,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103,756.69 : 9,442,543.78 = 9,442,543.78 : x
  2. Step 2: Convert to fraction form
    6,103,756.69/9,442,543.78 = 9,442,543.78/x
  3. Step 3: Cross multiply
    6,103,756.69x = 9,442,543.78 × 9,442,543.78
  4. Step 4: Simplify right side
    6,103,756.69x = 89,161,633,060,823.05
  5. Step 5: Solve for x
    x = 89,161,633,060,823.05/6,103,756.69
  6. Step 6: Final answer
    x = 14,607,665.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.