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Finding the Third Proportional to 611,466,172,404 and 1,330,287,553,583

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Solution

The third proportional to 611,466,172,404 and 1,330,287,553,583 is: 2,894,133,895,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,466,172,404 : 1,330,287,553,583 = 1,330,287,553,583 : x
  2. Step 2: Convert to fraction form
    611,466,172,404/1,330,287,553,583 = 1,330,287,553,583/x
  3. Step 3: Cross multiply
    611,466,172,404x = 1,330,287,553,583 × 1,330,287,553,583
  4. Step 4: Simplify right side
    611,466,172,404x = 1,769,664,975,217,842,972,524,544
  5. Step 5: Solve for x
    x = 1,769,664,975,217,842,972,524,544/611,466,172,404
  6. Step 6: Final answer
    x = 2,894,133,895,028.64

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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.