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Finding the Third Proportional to 3,147,527,905 and 6,517,906,715

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Solution

The third proportional to 3,147,527,905 and 6,517,906,715 is: 13,497,293,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147,527,905 : 6,517,906,715 = 6,517,906,715 : x
  2. Step 2: Convert to fraction form
    3,147,527,905/6,517,906,715 = 6,517,906,715/x
  3. Step 3: Cross multiply
    3,147,527,905x = 6,517,906,715 × 6,517,906,715
  4. Step 4: Simplify right side
    3,147,527,905x = 42,483,107,945,442,091,008
  5. Step 5: Solve for x
    x = 42,483,107,945,442,091,008/3,147,527,905
  6. Step 6: Final answer
    x = 13,497,293,503.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.