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Finding the Third Proportional to 11,147,230.13 and 15,697,326.66

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Solution

The third proportional to 11,147,230.13 and 15,697,326.66 is: 22,104,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147,230.13 : 15,697,326.66 = 15,697,326.66 : x
  2. Step 2: Convert to fraction form
    11,147,230.13/15,697,326.66 = 15,697,326.66/x
  3. Step 3: Cross multiply
    11,147,230.13x = 15,697,326.66 × 15,697,326.66
  4. Step 4: Simplify right side
    11,147,230.13x = 246,406,064,153,016.81
  5. Step 5: Solve for x
    x = 246,406,064,153,016.81/11,147,230.13
  6. Step 6: Final answer
    x = 22,104,689.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.