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Finding the Third Proportional to 329,131,371 and 707,795,862

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Solution

The third proportional to 329,131,371 and 707,795,862 is: 1,522,112,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,131,371 : 707,795,862 = 707,795,862 : x
  2. Step 2: Convert to fraction form
    329,131,371/707,795,862 = 707,795,862/x
  3. Step 3: Cross multiply
    329,131,371x = 707,795,862 × 707,795,862
  4. Step 4: Simplify right side
    329,131,371x = 500,974,982,264,323,072
  5. Step 5: Solve for x
    x = 500,974,982,264,323,072/329,131,371
  6. Step 6: Final answer
    x = 1,522,112,525.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.