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Finding the Third Proportional to 5,047,120,313 and 10,982,975,986

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Solution

The third proportional to 5,047,120,313 and 10,982,975,986 is: 23,899,917,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047,120,313 : 10,982,975,986 = 10,982,975,986 : x
  2. Step 2: Convert to fraction form
    5,047,120,313/10,982,975,986 = 10,982,975,986/x
  3. Step 3: Cross multiply
    5,047,120,313x = 10,982,975,986 × 10,982,975,986
  4. Step 4: Simplify right side
    5,047,120,313x = 120,625,761,509,052,678,144
  5. Step 5: Solve for x
    x = 120,625,761,509,052,678,144/5,047,120,313
  6. Step 6: Final answer
    x = 23,899,917,978.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.