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Finding the Third Proportional to 6,149,737.69 and 9,546,915.66

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Solution

The third proportional to 6,149,737.69 and 9,546,915.66 is: 14,820,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,737.69 : 9,546,915.66 = 9,546,915.66 : x
  2. Step 2: Convert to fraction form
    6,149,737.69/9,546,915.66 = 9,546,915.66/x
  3. Step 3: Cross multiply
    6,149,737.69x = 9,546,915.66 × 9,546,915.66
  4. Step 4: Simplify right side
    6,149,737.69x = 91,143,598,547,551.38
  5. Step 5: Solve for x
    x = 91,143,598,547,551.38/6,149,737.69
  6. Step 6: Final answer
    x = 14,820,729.47

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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.