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Finding the Third Proportional to 281,766,309 and 613,554,492

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Solution

The third proportional to 281,766,309 and 613,554,492 is: 1,336,033,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,766,309 : 613,554,492 = 613,554,492 : x
  2. Step 2: Convert to fraction form
    281,766,309/613,554,492 = 613,554,492/x
  3. Step 3: Cross multiply
    281,766,309x = 613,554,492 × 613,554,492
  4. Step 4: Simplify right side
    281,766,309x = 376,449,114,653,378,048
  5. Step 5: Solve for x
    x = 376,449,114,653,378,048/281,766,309
  6. Step 6: Final answer
    x = 1,336,033,097.74

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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.