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Finding the Third Proportional to 3,209,494,452 and 6,988,769,297

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Solution

The third proportional to 3,209,494,452 and 6,988,769,297 is: 15,218,252,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,494,452 : 6,988,769,297 = 6,988,769,297 : x
  2. Step 2: Convert to fraction form
    3,209,494,452/6,988,769,297 = 6,988,769,297/x
  3. Step 3: Cross multiply
    3,209,494,452x = 6,988,769,297 × 6,988,769,297
  4. Step 4: Simplify right side
    3,209,494,452x = 48,842,896,286,689,878,016
  5. Step 5: Solve for x
    x = 48,842,896,286,689,878,016/3,209,494,452
  6. Step 6: Final answer
    x = 15,218,252,287.76

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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.