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Finding the Third Proportional to 23,515,464 and 47,975,676

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Solution

The third proportional to 23,515,464 and 47,975,676 is: 97,878,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,515,464 : 47,975,676 = 47,975,676 : x
  2. Step 2: Convert to fraction form
    23,515,464/47,975,676 = 47,975,676/x
  3. Step 3: Cross multiply
    23,515,464x = 47,975,676 × 47,975,676
  4. Step 4: Simplify right side
    23,515,464x = 2,301,665,487,656,976
  5. Step 5: Solve for x
    x = 2,301,665,487,656,976/23,515,464
  6. Step 6: Final answer
    x = 97,878,803.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.