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Finding the Third Proportional to 7,761,646.13 and 16,882,329.66

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Solution

The third proportional to 7,761,646.13 and 16,882,329.66 is: 36,720,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761,646.13 : 16,882,329.66 = 16,882,329.66 : x
  2. Step 2: Convert to fraction form
    7,761,646.13/16,882,329.66 = 16,882,329.66/x
  3. Step 3: Cross multiply
    7,761,646.13x = 16,882,329.66 × 16,882,329.66
  4. Step 4: Simplify right side
    7,761,646.13x = 285,013,054,622,298.25
  5. Step 5: Solve for x
    x = 285,013,054,622,298.25/7,761,646.13
  6. Step 6: Final answer
    x = 36,720,696.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.