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Finding the Third Proportional to 23,515,466 and 47,975,680

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Solution

The third proportional to 23,515,466 and 47,975,680 is: 97,878,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,515,466 : 47,975,680 = 47,975,680 : x
  2. Step 2: Convert to fraction form
    23,515,466/47,975,680 = 47,975,680/x
  3. Step 3: Cross multiply
    23,515,466x = 47,975,680 × 47,975,680
  4. Step 4: Simplify right side
    23,515,466x = 2,301,665,871,462,400
  5. Step 5: Solve for x
    x = 2,301,665,871,462,400/23,515,466
  6. Step 6: Final answer
    x = 97,878,811.82

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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.