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Finding the Third Proportional to 42,654,733 and 91,879,821

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Solution

The third proportional to 42,654,733 and 91,879,821 is: 197,912,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,654,733 : 91,879,821 = 91,879,821 : x
  2. Step 2: Convert to fraction form
    42,654,733/91,879,821 = 91,879,821/x
  3. Step 3: Cross multiply
    42,654,733x = 91,879,821 × 91,879,821
  4. Step 4: Simplify right side
    42,654,733x = 8,441,901,506,992,041
  5. Step 5: Solve for x
    x = 8,441,901,506,992,041/42,654,733
  6. Step 6: Final answer
    x = 197,912,421.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.