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Finding the Third Proportional to 809,787,984 and 1,676,997,840

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Solution

The third proportional to 809,787,984 and 1,676,997,840 is: 3,472,911,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,787,984 : 1,676,997,840 = 1,676,997,840 : x
  2. Step 2: Convert to fraction form
    809,787,984/1,676,997,840 = 1,676,997,840/x
  3. Step 3: Cross multiply
    809,787,984x = 1,676,997,840 × 1,676,997,840
  4. Step 4: Simplify right side
    809,787,984x = 2,812,321,755,364,665,344
  5. Step 5: Solve for x
    x = 2,812,321,755,364,665,344/809,787,984
  6. Step 6: Final answer
    x = 3,472,911,195.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.