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Finding the Third Proportional to 10,432,231 and 22,407,023

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Solution

The third proportional to 10,432,231 and 22,407,023 is: 48,127,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432,231 : 22,407,023 = 22,407,023 : x
  2. Step 2: Convert to fraction form
    10,432,231/22,407,023 = 22,407,023/x
  3. Step 3: Cross multiply
    10,432,231x = 22,407,023 × 22,407,023
  4. Step 4: Simplify right side
    10,432,231x = 502,074,679,722,529
  5. Step 5: Solve for x
    x = 502,074,679,722,529/10,432,231
  6. Step 6: Final answer
    x = 48,127,258.66

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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.