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Finding the Third Proportional to 827,482,368 and 1,800,246,498

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Solution

The third proportional to 827,482,368 and 1,800,246,498 is: 3,916,563,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,482,368 : 1,800,246,498 = 1,800,246,498 : x
  2. Step 2: Convert to fraction form
    827,482,368/1,800,246,498 = 1,800,246,498/x
  3. Step 3: Cross multiply
    827,482,368x = 1,800,246,498 × 1,800,246,498
  4. Step 4: Simplify right side
    827,482,368x = 3,240,887,453,561,264,128
  5. Step 5: Solve for x
    x = 3,240,887,453,561,264,128/827,482,368
  6. Step 6: Final answer
    x = 3,916,563,758.81

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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.