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Finding the Third Proportional to 29,465,649 and 64,283,610

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Solution

The third proportional to 29,465,649 and 64,283,610 is: 140,244,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,465,649 : 64,283,610 = 64,283,610 : x
  2. Step 2: Convert to fraction form
    29,465,649/64,283,610 = 64,283,610/x
  3. Step 3: Cross multiply
    29,465,649x = 64,283,610 × 64,283,610
  4. Step 4: Simplify right side
    29,465,649x = 4,132,382,514,632,100
  5. Step 5: Solve for x
    x = 4,132,382,514,632,100/29,465,649
  6. Step 6: Final answer
    x = 140,244,069.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.