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Finding the Third Proportional to 29,443,824 and 64,346,400

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Solution

The third proportional to 29,443,824 and 64,346,400 is: 140,622,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,443,824 : 64,346,400 = 64,346,400 : x
  2. Step 2: Convert to fraction form
    29,443,824/64,346,400 = 64,346,400/x
  3. Step 3: Cross multiply
    29,443,824x = 64,346,400 × 64,346,400
  4. Step 4: Simplify right side
    29,443,824x = 4,140,459,192,960,000
  5. Step 5: Solve for x
    x = 4,140,459,192,960,000/29,443,824
  6. Step 6: Final answer
    x = 140,622,331.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.