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Finding the Third Proportional to 29,646,272 and 64,241,050

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Solution

The third proportional to 29,646,272 and 64,241,050 is: 139,205,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646,272 : 64,241,050 = 64,241,050 : x
  2. Step 2: Convert to fraction form
    29,646,272/64,241,050 = 64,241,050/x
  3. Step 3: Cross multiply
    29,646,272x = 64,241,050 × 64,241,050
  4. Step 4: Simplify right side
    29,646,272x = 4,126,912,505,102,500
  5. Step 5: Solve for x
    x = 4,126,912,505,102,500/29,646,272
  6. Step 6: Final answer
    x = 139,205,108.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.