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Finding the Third Proportional to 10,864,230.05 and 16,407,079.03

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Solution

The third proportional to 10,864,230.05 and 16,407,079.03 is: 24,777,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864,230.05 : 16,407,079.03 = 16,407,079.03 : x
  2. Step 2: Convert to fraction form
    10,864,230.05/16,407,079.03 = 16,407,079.03/x
  3. Step 3: Cross multiply
    10,864,230.05x = 16,407,079.03 × 16,407,079.03
  4. Step 4: Simplify right side
    10,864,230.05x = 269,192,242,337,683.44
  5. Step 5: Solve for x
    x = 269,192,242,337,683.44/10,864,230.05
  6. Step 6: Final answer
    x = 24,777,848.15

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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.