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Finding the Third Proportional to 4,220,262 and 6,538,882.50

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Solution

The third proportional to 4,220,262 and 6,538,882.50 is: 10,131,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220,262 : 6,538,882.50 = 6,538,882.50 : x
  2. Step 2: Convert to fraction form
    4,220,262/6,538,882.50 = 6,538,882.50/x
  3. Step 3: Cross multiply
    4,220,262x = 6,538,882.50 × 6,538,882.50
  4. Step 4: Simplify right side
    4,220,262x = 42,756,984,348,806.25
  5. Step 5: Solve for x
    x = 42,756,984,348,806.25/4,220,262
  6. Step 6: Final answer
    x = 10,131,357.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.