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Finding the Third Proportional to 1,819,466,415 and 2,660,965,101

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Solution

The third proportional to 1,819,466,415 and 2,660,965,101 is: 3,891,654,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819,466,415 : 2,660,965,101 = 2,660,965,101 : x
  2. Step 2: Convert to fraction form
    1,819,466,415/2,660,965,101 = 2,660,965,101/x
  3. Step 3: Cross multiply
    1,819,466,415x = 2,660,965,101 × 2,660,965,101
  4. Step 4: Simplify right side
    1,819,466,415x = 7,080,735,268,739,940,352
  5. Step 5: Solve for x
    x = 7,080,735,268,739,940,352/1,819,466,415
  6. Step 6: Final answer
    x = 3,891,654,833.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.