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Finding the Third Proportional to 29,614,716 and 66,035,070

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Solution

The third proportional to 29,614,716 and 66,035,070 is: 147,245,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614,716 : 66,035,070 = 66,035,070 : x
  2. Step 2: Convert to fraction form
    29,614,716/66,035,070 = 66,035,070/x
  3. Step 3: Cross multiply
    29,614,716x = 66,035,070 × 66,035,070
  4. Step 4: Simplify right side
    29,614,716x = 4,360,630,469,904,900
  5. Step 5: Solve for x
    x = 4,360,630,469,904,900/29,614,716
  6. Step 6: Final answer
    x = 147,245,392.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.