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Finding the Third Proportional to 611,466,172,419 and 1,330,287,553,614

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Solution

The third proportional to 611,466,172,419 and 1,330,287,553,614 is: 2,894,133,895,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,466,172,419 : 1,330,287,553,614 = 1,330,287,553,614 : x
  2. Step 2: Convert to fraction form
    611,466,172,419/1,330,287,553,614 = 1,330,287,553,614/x
  3. Step 3: Cross multiply
    611,466,172,419x = 1,330,287,553,614 × 1,330,287,553,614
  4. Step 4: Simplify right side
    611,466,172,419x = 1,769,664,975,300,320,840,122,368
  5. Step 5: Solve for x
    x = 1,769,664,975,300,320,840,122,368/611,466,172,419
  6. Step 6: Final answer
    x = 2,894,133,895,092.53

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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.