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Finding the Third Proportional to 6,162,552.14 and 9,616,897.76

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Solution

The third proportional to 6,162,552.14 and 9,616,897.76 is: 15,007,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162,552.14 : 9,616,897.76 = 9,616,897.76 : x
  2. Step 2: Convert to fraction form
    6,162,552.14/9,616,897.76 = 9,616,897.76/x
  3. Step 3: Cross multiply
    6,162,552.14x = 9,616,897.76 × 9,616,897.76
  4. Step 4: Simplify right side
    6,162,552.14x = 92,484,722,484,219.09
  5. Step 5: Solve for x
    x = 92,484,722,484,219.09/6,162,552.14
  6. Step 6: Final answer
    x = 15,007,535.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.