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Finding the Third Proportional to 843,827,966 and 1,817,260,498

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Solution

The third proportional to 843,827,966 and 1,817,260,498 is: 3,913,636,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,827,966 : 1,817,260,498 = 1,817,260,498 : x
  2. Step 2: Convert to fraction form
    843,827,966/1,817,260,498 = 1,817,260,498/x
  3. Step 3: Cross multiply
    843,827,966x = 1,817,260,498 × 1,817,260,498
  4. Step 4: Simplify right side
    843,827,966x = 3,302,435,717,591,207,936
  5. Step 5: Solve for x
    x = 3,302,435,717,591,207,936/843,827,966
  6. Step 6: Final answer
    x = 3,913,636,251.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.