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Finding the Third Proportional to 5,243,661,727 and 11,235,259,453

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Solution

The third proportional to 5,243,661,727 and 11,235,259,453 is: 24,073,073,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243,661,727 : 11,235,259,453 = 11,235,259,453 : x
  2. Step 2: Convert to fraction form
    5,243,661,727/11,235,259,453 = 11,235,259,453/x
  3. Step 3: Cross multiply
    5,243,661,727x = 11,235,259,453 × 11,235,259,453
  4. Step 4: Simplify right side
    5,243,661,727x = 126,231,054,976,225,853,440
  5. Step 5: Solve for x
    x = 126,231,054,976,225,853,440/5,243,661,727
  6. Step 6: Final answer
    x = 24,073,073,655.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.