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Finding the Third Proportional to 31,976,394 and 70,328,647.50

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Solution

The third proportional to 31,976,394 and 70,328,647.50 is: 154,680,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,976,394 : 70,328,647.50 = 70,328,647.50 : x
  2. Step 2: Convert to fraction form
    31,976,394/70,328,647.50 = 70,328,647.50/x
  3. Step 3: Cross multiply
    31,976,394x = 70,328,647.50 × 70,328,647.50
  4. Step 4: Simplify right side
    31,976,394x = 4,946,118,659,179,256
  5. Step 5: Solve for x
    x = 4,946,118,659,179,256/31,976,394
  6. Step 6: Final answer
    x = 154,680,313.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.