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Finding the Third Proportional to 6,809,418 and 10,117,657

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Solution

The third proportional to 6,809,418 and 10,117,657 is: 15,033,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809,418 : 10,117,657 = 10,117,657 : x
  2. Step 2: Convert to fraction form
    6,809,418/10,117,657 = 10,117,657/x
  3. Step 3: Cross multiply
    6,809,418x = 10,117,657 × 10,117,657
  4. Step 4: Simplify right side
    6,809,418x = 102,366,983,169,649
  5. Step 5: Solve for x
    x = 102,366,983,169,649/6,809,418
  6. Step 6: Final answer
    x = 15,033,147.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.