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Finding the Third Proportional to 350,920,381 and 760,356,947

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Solution

The third proportional to 350,920,381 and 760,356,947 is: 1,647,503,873.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,920,381 : 760,356,947 = 760,356,947 : x
  2. Step 2: Convert to fraction form
    350,920,381/760,356,947 = 760,356,947/x
  3. Step 3: Cross multiply
    350,920,381x = 760,356,947 × 760,356,947
  4. Step 4: Simplify right side
    350,920,381x = 578,142,686,851,160,832
  5. Step 5: Solve for x
    x = 578,142,686,851,160,832/350,920,381
  6. Step 6: Final answer
    x = 1,647,503,873.11

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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.