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Finding the Third Proportional to 29,444,240 and 64,347,184

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Solution

The third proportional to 29,444,240 and 64,347,184 is: 140,623,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,444,240 : 64,347,184 = 64,347,184 : x
  2. Step 2: Convert to fraction form
    29,444,240/64,347,184 = 64,347,184/x
  3. Step 3: Cross multiply
    29,444,240x = 64,347,184 × 64,347,184
  4. Step 4: Simplify right side
    29,444,240x = 4,140,560,088,729,856
  5. Step 5: Solve for x
    x = 4,140,560,088,729,856/29,444,240
  6. Step 6: Final answer
    x = 140,623,771.87

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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.