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Finding the Third Proportional to 23,853,840 and 51,484,512

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Solution

The third proportional to 23,853,840 and 51,484,512 is: 111,120,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853,840 : 51,484,512 = 51,484,512 : x
  2. Step 2: Convert to fraction form
    23,853,840/51,484,512 = 51,484,512/x
  3. Step 3: Cross multiply
    23,853,840x = 51,484,512 × 51,484,512
  4. Step 4: Simplify right side
    23,853,840x = 2,650,654,975,878,144
  5. Step 5: Solve for x
    x = 2,650,654,975,878,144/23,853,840
  6. Step 6: Final answer
    x = 111,120,682.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.