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Finding the Third Proportional to 34,713,451 and 74,651,077

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Solution

The third proportional to 34,713,451 and 74,651,077 is: 160,536,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,713,451 : 74,651,077 = 74,651,077 : x
  2. Step 2: Convert to fraction form
    34,713,451/74,651,077 = 74,651,077/x
  3. Step 3: Cross multiply
    34,713,451x = 74,651,077 × 74,651,077
  4. Step 4: Simplify right side
    34,713,451x = 5,572,783,297,259,929
  5. Step 5: Solve for x
    x = 5,572,783,297,259,929/34,713,451
  6. Step 6: Final answer
    x = 160,536,712.33

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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.