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Finding the Third Proportional to 41,102,824 and 64,006,908

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Solution

The third proportional to 41,102,824 and 64,006,908 is: 99,674,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102,824 : 64,006,908 = 64,006,908 : x
  2. Step 2: Convert to fraction form
    41,102,824/64,006,908 = 64,006,908/x
  3. Step 3: Cross multiply
    41,102,824x = 64,006,908 × 64,006,908
  4. Step 4: Simplify right side
    41,102,824x = 4,096,884,271,720,464
  5. Step 5: Solve for x
    x = 4,096,884,271,720,464/41,102,824
  6. Step 6: Final answer
    x = 99,674,033.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.