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Finding the Third Proportional to 3,097,314 and 6,642,882

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Solution

The third proportional to 3,097,314 and 6,642,882 is: 14,247,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,314 : 6,642,882 = 6,642,882 : x
  2. Step 2: Convert to fraction form
    3,097,314/6,642,882 = 6,642,882/x
  3. Step 3: Cross multiply
    3,097,314x = 6,642,882 × 6,642,882
  4. Step 4: Simplify right side
    3,097,314x = 44,127,881,265,924
  5. Step 5: Solve for x
    x = 44,127,881,265,924/3,097,314
  6. Step 6: Final answer
    x = 14,247,144.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.