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Finding the Third Proportional to 45,946,010 and 71,134,491

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Solution

The third proportional to 45,946,010 and 71,134,491 is: 110,131,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,946,010 : 71,134,491 = 71,134,491 : x
  2. Step 2: Convert to fraction form
    45,946,010/71,134,491 = 71,134,491/x
  3. Step 3: Cross multiply
    45,946,010x = 71,134,491 × 71,134,491
  4. Step 4: Simplify right side
    45,946,010x = 5,060,115,809,829,081
  5. Step 5: Solve for x
    x = 5,060,115,809,829,081/45,946,010
  6. Step 6: Final answer
    x = 110,131,778.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.