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Finding the Third Proportional to 29,614,684 and 66,035,004

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Solution

The third proportional to 29,614,684 and 66,035,004 is: 147,245,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614,684 : 66,035,004 = 66,035,004 : x
  2. Step 2: Convert to fraction form
    29,614,684/66,035,004 = 66,035,004/x
  3. Step 3: Cross multiply
    29,614,684x = 66,035,004 × 66,035,004
  4. Step 4: Simplify right side
    29,614,684x = 4,360,621,753,280,016
  5. Step 5: Solve for x
    x = 4,360,621,753,280,016/29,614,684
  6. Step 6: Final answer
    x = 147,245,256.89

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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.