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Finding the Third Proportional to 920,445,882 and 1,977,500,500

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Solution

The third proportional to 920,445,882 and 1,977,500,500 is: 4,248,493,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,445,882 : 1,977,500,500 = 1,977,500,500 : x
  2. Step 2: Convert to fraction form
    920,445,882/1,977,500,500 = 1,977,500,500/x
  3. Step 3: Cross multiply
    920,445,882x = 1,977,500,500 × 1,977,500,500
  4. Step 4: Simplify right side
    920,445,882x = 3,910,508,227,500,250,112
  5. Step 5: Solve for x
    x = 3,910,508,227,500,250,112/920,445,882
  6. Step 6: Final answer
    x = 4,248,493,370.41

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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.