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Finding the Third Proportional to 6,720,816 and 10,205,883

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Solution

The third proportional to 6,720,816 and 10,205,883 is: 15,498,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720,816 : 10,205,883 = 10,205,883 : x
  2. Step 2: Convert to fraction form
    6,720,816/10,205,883 = 10,205,883/x
  3. Step 3: Cross multiply
    6,720,816x = 10,205,883 × 10,205,883
  4. Step 4: Simplify right side
    6,720,816x = 104,160,047,809,689
  5. Step 5: Solve for x
    x = 104,160,047,809,689/6,720,816
  6. Step 6: Final answer
    x = 15,498,125.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.