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Finding the Third Proportional to 1,827,687,214 and 2,784,384,363

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Solution

The third proportional to 1,827,687,214 and 2,784,384,363 is: 4,241,861,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,687,214 : 2,784,384,363 = 2,784,384,363 : x
  2. Step 2: Convert to fraction form
    1,827,687,214/2,784,384,363 = 2,784,384,363/x
  3. Step 3: Cross multiply
    1,827,687,214x = 2,784,384,363 × 2,784,384,363
  4. Step 4: Simplify right side
    1,827,687,214x = 7,752,796,280,918,916,096
  5. Step 5: Solve for x
    x = 7,752,796,280,918,916,096/1,827,687,214
  6. Step 6: Final answer
    x = 4,241,861,638.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.