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Finding the Third Proportional to 381,654,440 and 830,889,643

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Solution

The third proportional to 381,654,440 and 830,889,643 is: 1,808,907,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,654,440 : 830,889,643 = 830,889,643 : x
  2. Step 2: Convert to fraction form
    381,654,440/830,889,643 = 830,889,643/x
  3. Step 3: Cross multiply
    381,654,440x = 830,889,643 × 830,889,643
  4. Step 4: Simplify right side
    381,654,440x = 690,377,598,844,667,392
  5. Step 5: Solve for x
    x = 690,377,598,844,667,392/381,654,440
  6. Step 6: Final answer
    x = 1,808,907,552.19

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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.