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Finding the Third Proportional to 66,039,766 and 100,056,920

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Solution

The third proportional to 66,039,766 and 100,056,920 is: 151,596,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,039,766 : 100,056,920 = 100,056,920 : x
  2. Step 2: Convert to fraction form
    66,039,766/100,056,920 = 100,056,920/x
  3. Step 3: Cross multiply
    66,039,766x = 100,056,920 × 100,056,920
  4. Step 4: Simplify right side
    66,039,766x = 10,011,387,239,886,400
  5. Step 5: Solve for x
    x = 10,011,387,239,886,400/66,039,766
  6. Step 6: Final answer
    x = 151,596,346.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.