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Finding the Third Proportional to 555,138,862 and 1,219,226,394

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Solution

The third proportional to 555,138,862 and 1,219,226,394 is: 2,677,731,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,138,862 : 1,219,226,394 = 1,219,226,394 : x
  2. Step 2: Convert to fraction form
    555,138,862/1,219,226,394 = 1,219,226,394/x
  3. Step 3: Cross multiply
    555,138,862x = 1,219,226,394 × 1,219,226,394
  4. Step 4: Simplify right side
    555,138,862x = 1,486,512,999,826,243,328
  5. Step 5: Solve for x
    x = 1,486,512,999,826,243,328/555,138,862
  6. Step 6: Final answer
    x = 2,677,731,828.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.