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Finding the Third Proportional to 29,465,646 and 64,283,604

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Solution

The third proportional to 29,465,646 and 64,283,604 is: 140,244,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,465,646 : 64,283,604 = 64,283,604 : x
  2. Step 2: Convert to fraction form
    29,465,646/64,283,604 = 64,283,604/x
  3. Step 3: Cross multiply
    29,465,646x = 64,283,604 × 64,283,604
  4. Step 4: Simplify right side
    29,465,646x = 4,132,381,743,228,816
  5. Step 5: Solve for x
    x = 4,132,381,743,228,816/29,465,646
  6. Step 6: Final answer
    x = 140,244,057.21

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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.