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Finding the Third Proportional to 1,381,052,970 and 2,958,605,460

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Solution

The third proportional to 1,381,052,970 and 2,958,605,460 is: 6,338,168,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,052,970 : 2,958,605,460 = 2,958,605,460 : x
  2. Step 2: Convert to fraction form
    1,381,052,970/2,958,605,460 = 2,958,605,460/x
  3. Step 3: Cross multiply
    1,381,052,970x = 2,958,605,460 × 2,958,605,460
  4. Step 4: Simplify right side
    1,381,052,970x = 8,753,346,267,941,811,200
  5. Step 5: Solve for x
    x = 8,753,346,267,941,811,200/1,381,052,970
  6. Step 6: Final answer
    x = 6,338,168,381.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.