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Finding the Third Proportional to 920,445,864 and 1,977,500,464

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Solution

The third proportional to 920,445,864 and 1,977,500,464 is: 4,248,493,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,445,864 : 1,977,500,464 = 1,977,500,464 : x
  2. Step 2: Convert to fraction form
    920,445,864/1,977,500,464 = 1,977,500,464/x
  3. Step 3: Cross multiply
    920,445,864x = 1,977,500,464 × 1,977,500,464
  4. Step 4: Simplify right side
    920,445,864x = 3,910,508,085,120,215,040
  5. Step 5: Solve for x
    x = 3,910,508,085,120,215,040/920,445,864
  6. Step 6: Final answer
    x = 4,248,493,298.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.