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Finding the Third Proportional to 10,244,052,709 and 22,843,543,768

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Solution

The third proportional to 10,244,052,709 and 22,843,543,768 is: 50,939,555,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244,052,709 : 22,843,543,768 = 22,843,543,768 : x
  2. Step 2: Convert to fraction form
    10,244,052,709/22,843,543,768 = 22,843,543,768/x
  3. Step 3: Cross multiply
    10,244,052,709x = 22,843,543,768 × 22,843,543,768
  4. Step 4: Simplify right side
    10,244,052,709x = 521,827,491,880,531,656,704
  5. Step 5: Solve for x
    x = 521,827,491,880,531,656,704/10,244,052,709
  6. Step 6: Final answer
    x = 50,939,555,535.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.