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Finding the Third Proportional to 5,780,184 and 9,001,107

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Solution

The third proportional to 5,780,184 and 9,001,107 is: 14,016,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780,184 : 9,001,107 = 9,001,107 : x
  2. Step 2: Convert to fraction form
    5,780,184/9,001,107 = 9,001,107/x
  3. Step 3: Cross multiply
    5,780,184x = 9,001,107 × 9,001,107
  4. Step 4: Simplify right side
    5,780,184x = 81,019,927,225,449
  5. Step 5: Solve for x
    x = 81,019,927,225,449/5,780,184
  6. Step 6: Final answer
    x = 14,016,842.24

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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.