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Finding the Third Proportional to 22,985,160 and 48,772,233

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Solution

The third proportional to 22,985,160 and 48,772,233 is: 103,489,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985,160 : 48,772,233 = 48,772,233 : x
  2. Step 2: Convert to fraction form
    22,985,160/48,772,233 = 48,772,233/x
  3. Step 3: Cross multiply
    22,985,160x = 48,772,233 × 48,772,233
  4. Step 4: Simplify right side
    22,985,160x = 2,378,730,711,806,289
  5. Step 5: Solve for x
    x = 2,378,730,711,806,289/22,985,160
  6. Step 6: Final answer
    x = 103,489,847.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.