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Finding the Third Proportional to 3,309,937,249 and 7,201,000,680

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Solution

The third proportional to 3,309,937,249 and 7,201,000,680 is: 15,666,282,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309,937,249 : 7,201,000,680 = 7,201,000,680 : x
  2. Step 2: Convert to fraction form
    3,309,937,249/7,201,000,680 = 7,201,000,680/x
  3. Step 3: Cross multiply
    3,309,937,249x = 7,201,000,680 × 7,201,000,680
  4. Step 4: Simplify right side
    3,309,937,249x = 51,854,410,793,360,465,920
  5. Step 5: Solve for x
    x = 51,854,410,793,360,465,920/3,309,937,249
  6. Step 6: Final answer
    x = 15,666,282,135.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.