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Finding the Third Proportional to 5,680,008 and 12,400,842

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Solution

The third proportional to 5,680,008 and 12,400,842 is: 27,074,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680,008 : 12,400,842 = 12,400,842 : x
  2. Step 2: Convert to fraction form
    5,680,008/12,400,842 = 12,400,842/x
  3. Step 3: Cross multiply
    5,680,008x = 12,400,842 × 12,400,842
  4. Step 4: Simplify right side
    5,680,008x = 153,780,882,308,964
  5. Step 5: Solve for x
    x = 153,780,882,308,964/5,680,008
  6. Step 6: Final answer
    x = 27,074,060.87

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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.