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Finding the Third Proportional to 3,635,488,890 and 5,526,535,329

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Solution

The third proportional to 3,635,488,890 and 5,526,535,329 is: 8,401,233,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635,488,890 : 5,526,535,329 = 5,526,535,329 : x
  2. Step 2: Convert to fraction form
    3,635,488,890/5,526,535,329 = 5,526,535,329/x
  3. Step 3: Cross multiply
    3,635,488,890x = 5,526,535,329 × 5,526,535,329
  4. Step 4: Simplify right side
    3,635,488,890x = 30,542,592,742,685,138,944
  5. Step 5: Solve for x
    x = 30,542,592,742,685,138,944/3,635,488,890
  6. Step 6: Final answer
    x = 8,401,233,965.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.