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Finding the Third Proportional to 41,102,826 and 64,006,911

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Solution

The third proportional to 41,102,826 and 64,006,911 is: 99,674,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102,826 : 64,006,911 = 64,006,911 : x
  2. Step 2: Convert to fraction form
    41,102,826/64,006,911 = 64,006,911/x
  3. Step 3: Cross multiply
    41,102,826x = 64,006,911 × 64,006,911
  4. Step 4: Simplify right side
    41,102,826x = 4,096,884,655,761,921
  5. Step 5: Solve for x
    x = 4,096,884,655,761,921/41,102,826
  6. Step 6: Final answer
    x = 99,674,038.37

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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.