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Finding the Third Proportional to 827,482,365 and 1,800,246,492

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Solution

The third proportional to 827,482,365 and 1,800,246,492 is: 3,916,563,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,482,365 : 1,800,246,492 = 1,800,246,492 : x
  2. Step 2: Convert to fraction form
    827,482,365/1,800,246,492 = 1,800,246,492/x
  3. Step 3: Cross multiply
    827,482,365x = 1,800,246,492 × 1,800,246,492
  4. Step 4: Simplify right side
    827,482,365x = 3,240,887,431,958,306,304
  5. Step 5: Solve for x
    x = 3,240,887,431,958,306,304/827,482,365
  6. Step 6: Final answer
    x = 3,916,563,746.90

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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.