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Finding the Third Proportional to 34,044,312.75 and 70,511,043.75

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Solution

The third proportional to 34,044,312.75 and 70,511,043.75 is: 146,039,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,044,312.75 : 70,511,043.75 = 70,511,043.75 : x
  2. Step 2: Convert to fraction form
    34,044,312.75/70,511,043.75 = 70,511,043.75/x
  3. Step 3: Cross multiply
    34,044,312.75x = 70,511,043.75 × 70,511,043.75
  4. Step 4: Simplify right side
    34,044,312.75x = 4,971,807,290,714,414
  5. Step 5: Solve for x
    x = 4,971,807,290,714,414/34,044,312.75
  6. Step 6: Final answer
    x = 146,039,290.83

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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.