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Finding the Third Proportional to 34,540,749 and 74,462,064.75

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Solution

The third proportional to 34,540,749 and 74,462,064.75 is: 160,523,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,540,749 : 74,462,064.75 = 74,462,064.75 : x
  2. Step 2: Convert to fraction form
    34,540,749/74,462,064.75 = 74,462,064.75/x
  3. Step 3: Cross multiply
    34,540,749x = 74,462,064.75 × 74,462,064.75
  4. Step 4: Simplify right side
    34,540,749x = 5,544,599,086,833,193
  5. Step 5: Solve for x
    x = 5,544,599,086,833,193/34,540,749
  6. Step 6: Final answer
    x = 160,523,417.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.