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Finding the Third Proportional to 420,603,016 and 920,361,217

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Solution

The third proportional to 420,603,016 and 920,361,217 is: 2,013,929,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,603,016 : 920,361,217 = 920,361,217 : x
  2. Step 2: Convert to fraction form
    420,603,016/920,361,217 = 920,361,217/x
  3. Step 3: Cross multiply
    420,603,016x = 920,361,217 × 920,361,217
  4. Step 4: Simplify right side
    420,603,016x = 847,064,769,757,721,088
  5. Step 5: Solve for x
    x = 847,064,769,757,721,088/420,603,016
  6. Step 6: Final answer
    x = 2,013,929,376.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.