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Finding the Third Proportional to 48,217,226 and 72,774,233

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Solution

The third proportional to 48,217,226 and 72,774,233 is: 109,838,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,217,226 : 72,774,233 = 72,774,233 : x
  2. Step 2: Convert to fraction form
    48,217,226/72,774,233 = 72,774,233/x
  3. Step 3: Cross multiply
    48,217,226x = 72,774,233 × 72,774,233
  4. Step 4: Simplify right side
    48,217,226x = 5,296,088,988,738,289
  5. Step 5: Solve for x
    x = 5,296,088,988,738,289/48,217,226
  6. Step 6: Final answer
    x = 109,838,110.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.