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Finding the Third Proportional to 2,707,289,882 and 3,652,769,703

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Solution

The third proportional to 2,707,289,882 and 3,652,769,703 is: 4,928,443,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707,289,882 : 3,652,769,703 = 3,652,769,703 : x
  2. Step 2: Convert to fraction form
    2,707,289,882/3,652,769,703 = 3,652,769,703/x
  3. Step 3: Cross multiply
    2,707,289,882x = 3,652,769,703 × 3,652,769,703
  4. Step 4: Simplify right side
    2,707,289,882x = 13,342,726,503,154,708,480
  5. Step 5: Solve for x
    x = 13,342,726,503,154,708,480/2,707,289,882
  6. Step 6: Final answer
    x = 4,928,443,973.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.