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Finding the Third Proportional to 2,006,320.64 and 4,472,146.69

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Solution

The third proportional to 2,006,320.64 and 4,472,146.69 is: 9,968,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,320.64 : 4,472,146.69 = 4,472,146.69 : x
  2. Step 2: Convert to fraction form
    2,006,320.64/4,472,146.69 = 4,472,146.69/x
  3. Step 3: Cross multiply
    2,006,320.64x = 4,472,146.69 × 4,472,146.69
  4. Step 4: Simplify right side
    2,006,320.64x = 20,000,095,994,517.22
  5. Step 5: Solve for x
    x = 20,000,095,994,517.22/2,006,320.64
  6. Step 6: Final answer
    x = 9,968,544.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.