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Finding the Third Proportional to 746,371,322 and 1,619,611,231

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Solution

The third proportional to 746,371,322 and 1,619,611,231 is: 3,514,524,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,371,322 : 1,619,611,231 = 1,619,611,231 : x
  2. Step 2: Convert to fraction form
    746,371,322/1,619,611,231 = 1,619,611,231/x
  3. Step 3: Cross multiply
    746,371,322x = 1,619,611,231 × 1,619,611,231
  4. Step 4: Simplify right side
    746,371,322x = 2,623,140,539,581,335,552
  5. Step 5: Solve for x
    x = 2,623,140,539,581,335,552/746,371,322
  6. Step 6: Final answer
    x = 3,514,524,824.66

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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.