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Finding the Third Proportional to 2,166,044,978 and 3,348,429,387

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Solution

The third proportional to 2,166,044,978 and 3,348,429,387 is: 5,176,244,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166,044,978 : 3,348,429,387 = 3,348,429,387 : x
  2. Step 2: Convert to fraction form
    2,166,044,978/3,348,429,387 = 3,348,429,387/x
  3. Step 3: Cross multiply
    2,166,044,978x = 3,348,429,387 × 3,348,429,387
  4. Step 4: Simplify right side
    2,166,044,978x = 11,211,979,359,725,195,264
  5. Step 5: Solve for x
    x = 11,211,979,359,725,195,264/2,166,044,978
  6. Step 6: Final answer
    x = 5,176,244,941.17

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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.