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Finding the Third Proportional to 23,515,462 and 47,975,672

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Solution

The third proportional to 23,515,462 and 47,975,672 is: 97,878,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,515,462 : 47,975,672 = 47,975,672 : x
  2. Step 2: Convert to fraction form
    23,515,462/47,975,672 = 47,975,672/x
  3. Step 3: Cross multiply
    23,515,462x = 47,975,672 × 47,975,672
  4. Step 4: Simplify right side
    23,515,462x = 2,301,665,103,851,584
  5. Step 5: Solve for x
    x = 2,301,665,103,851,584/23,515,462
  6. Step 6: Final answer
    x = 97,878,795.83

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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.