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Finding the Third Proportional to 24,271,650 and 52,145,289

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Solution

The third proportional to 24,271,650 and 52,145,289 is: 112,029,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271,650 : 52,145,289 = 52,145,289 : x
  2. Step 2: Convert to fraction form
    24,271,650/52,145,289 = 52,145,289/x
  3. Step 3: Cross multiply
    24,271,650x = 52,145,289 × 52,145,289
  4. Step 4: Simplify right side
    24,271,650x = 2,719,131,164,893,521
  5. Step 5: Solve for x
    x = 2,719,131,164,893,521/24,271,650
  6. Step 6: Final answer
    x = 112,029,102.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.