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Finding the Third Proportional to 69,011,676 and 147,717,675

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Solution

The third proportional to 69,011,676 and 147,717,675 is: 316,185,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,011,676 : 147,717,675 = 147,717,675 : x
  2. Step 2: Convert to fraction form
    69,011,676/147,717,675 = 147,717,675/x
  3. Step 3: Cross multiply
    69,011,676x = 147,717,675 × 147,717,675
  4. Step 4: Simplify right side
    69,011,676x = 21,820,511,507,405,624
  5. Step 5: Solve for x
    x = 21,820,511,507,405,624/69,011,676
  6. Step 6: Final answer
    x = 316,185,793.07

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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.