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Finding the Third Proportional to 6,718,788 and 10,202,598

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Solution

The third proportional to 6,718,788 and 10,202,598 is: 15,492,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718,788 : 10,202,598 = 10,202,598 : x
  2. Step 2: Convert to fraction form
    6,718,788/10,202,598 = 10,202,598/x
  3. Step 3: Cross multiply
    6,718,788x = 10,202,598 × 10,202,598
  4. Step 4: Simplify right side
    6,718,788x = 104,093,005,949,604
  5. Step 5: Solve for x
    x = 104,093,005,949,604/6,718,788
  6. Step 6: Final answer
    x = 15,492,824.89

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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.