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Finding the Third Proportional to 6,813,613.69 and 10,472,986.13

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Solution

The third proportional to 6,813,613.69 and 10,472,986.13 is: 16,097,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813,613.69 : 10,472,986.13 = 10,472,986.13 : x
  2. Step 2: Convert to fraction form
    6,813,613.69/10,472,986.13 = 10,472,986.13/x
  3. Step 3: Cross multiply
    6,813,613.69x = 10,472,986.13 × 10,472,986.13
  4. Step 4: Simplify right side
    6,813,613.69x = 109,683,438,374,442.52
  5. Step 5: Solve for x
    x = 109,683,438,374,442.52/6,813,613.69
  6. Step 6: Final answer
    x = 16,097,689.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.