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Finding the Third Proportional to 1,447,511,596 and 3,160,479,216

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Solution

The third proportional to 1,447,511,596 and 3,160,479,216 is: 6,900,551,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,511,596 : 3,160,479,216 = 3,160,479,216 : x
  2. Step 2: Convert to fraction form
    1,447,511,596/3,160,479,216 = 3,160,479,216/x
  3. Step 3: Cross multiply
    1,447,511,596x = 3,160,479,216 × 3,160,479,216
  4. Step 4: Simplify right side
    1,447,511,596x = 9,988,628,874,767,974,400
  5. Step 5: Solve for x
    x = 9,988,628,874,767,974,400/1,447,511,596
  6. Step 6: Final answer
    x = 6,900,551,886.68

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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.