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Finding the Third Proportional to 6,069,101 and 13,001,724.75

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Solution

The third proportional to 6,069,101 and 13,001,724.75 is: 27,853,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069,101 : 13,001,724.75 = 13,001,724.75 : x
  2. Step 2: Convert to fraction form
    6,069,101/13,001,724.75 = 13,001,724.75/x
  3. Step 3: Cross multiply
    6,069,101x = 13,001,724.75 × 13,001,724.75
  4. Step 4: Simplify right side
    6,069,101x = 169,044,846,474,762.56
  5. Step 5: Solve for x
    x = 169,044,846,474,762.56/6,069,101
  6. Step 6: Final answer
    x = 27,853,358.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.