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Finding the Third Proportional to 34,044,315 and 70,511,046.75

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Solution

The third proportional to 34,044,315 and 70,511,046.75 is: 146,039,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,044,315 : 70,511,046.75 = 70,511,046.75 : x
  2. Step 2: Convert to fraction form
    34,044,315/70,511,046.75 = 70,511,046.75/x
  3. Step 3: Cross multiply
    34,044,315x = 70,511,046.75 × 70,511,046.75
  4. Step 4: Simplify right side
    34,044,315x = 4,971,807,713,780,686
  5. Step 5: Solve for x
    x = 4,971,807,713,780,686/34,044,315
  6. Step 6: Final answer
    x = 146,039,293.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.