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Finding the Third Proportional to 22,671,077,266.50 and 49,195,780,845

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Solution

The third proportional to 22,671,077,266.50 and 49,195,780,845 is: 106,753,853,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671,077,266.50 : 49,195,780,845 = 49,195,780,845 : x
  2. Step 2: Convert to fraction form
    22,671,077,266.50/49,195,780,845 = 49,195,780,845/x
  3. Step 3: Cross multiply
    22,671,077,266.50x = 49,195,780,845 × 49,195,780,845
  4. Step 4: Simplify right side
    22,671,077,266.50x = 2,420,224,852,949,268,955,136
  5. Step 5: Solve for x
    x = 2,420,224,852,949,268,955,136/22,671,077,266.50
  6. Step 6: Final answer
    x = 106,753,853,136.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.