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Finding the Third Proportional to 76,217,988 and 162,267,744

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Solution

The third proportional to 76,217,988 and 162,267,744 is: 345,467,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,217,988 : 162,267,744 = 162,267,744 : x
  2. Step 2: Convert to fraction form
    76,217,988/162,267,744 = 162,267,744/x
  3. Step 3: Cross multiply
    76,217,988x = 162,267,744 × 162,267,744
  4. Step 4: Simplify right side
    76,217,988x = 26,330,820,742,849,536
  5. Step 5: Solve for x
    x = 26,330,820,742,849,536/76,217,988
  6. Step 6: Final answer
    x = 345,467,276.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.