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Finding the Third Proportional to 49,030,515 and 79,001,257.50

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Solution

The third proportional to 49,030,515 and 79,001,257.50 is: 127,292,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,030,515 : 79,001,257.50 = 79,001,257.50 : x
  2. Step 2: Convert to fraction form
    49,030,515/79,001,257.50 = 79,001,257.50/x
  3. Step 3: Cross multiply
    49,030,515x = 79,001,257.50 × 79,001,257.50
  4. Step 4: Simplify right side
    49,030,515x = 6,241,198,686,581,306
  5. Step 5: Solve for x
    x = 6,241,198,686,581,306/49,030,515
  6. Step 6: Final answer
    x = 127,292,129.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.