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Finding the Third Proportional to 1,022,216,352 and 1,669,010,544

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Solution

The third proportional to 1,022,216,352 and 1,669,010,544 is: 2,725,055,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,216,352 : 1,669,010,544 = 1,669,010,544 : x
  2. Step 2: Convert to fraction form
    1,022,216,352/1,669,010,544 = 1,669,010,544/x
  3. Step 3: Cross multiply
    1,022,216,352x = 1,669,010,544 × 1,669,010,544
  4. Step 4: Simplify right side
    1,022,216,352x = 2,785,596,195,983,175,680
  5. Step 5: Solve for x
    x = 2,785,596,195,983,175,680/1,022,216,352
  6. Step 6: Final answer
    x = 2,725,055,405.87

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.