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Finding the Third Proportional to 207,808,731 and 451,787,688

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Solution

The third proportional to 207,808,731 and 451,787,688 is: 982,211,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,808,731 : 451,787,688 = 451,787,688 : x
  2. Step 2: Convert to fraction form
    207,808,731/451,787,688 = 451,787,688/x
  3. Step 3: Cross multiply
    207,808,731x = 451,787,688 × 451,787,688
  4. Step 4: Simplify right side
    207,808,731x = 204,112,115,028,385,344
  5. Step 5: Solve for x
    x = 204,112,115,028,385,344/207,808,731
  6. Step 6: Final answer
    x = 982,211,450.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.