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Finding the Third Proportional to 4,107,036 and 6,384,564

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Solution

The third proportional to 4,107,036 and 6,384,564 is: 9,925,079.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,036 : 6,384,564 = 6,384,564 : x
  2. Step 2: Convert to fraction form
    4,107,036/6,384,564 = 6,384,564/x
  3. Step 3: Cross multiply
    4,107,036x = 6,384,564 × 6,384,564
  4. Step 4: Simplify right side
    4,107,036x = 40,762,657,470,096
  5. Step 5: Solve for x
    x = 40,762,657,470,096/4,107,036
  6. Step 6: Final answer
    x = 9,925,079.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.