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Finding the Third Proportional to 611,466,172,431 and 1,330,287,553,634

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Solution

The third proportional to 611,466,172,431 and 1,330,287,553,634 is: 2,894,133,895,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,466,172,431 : 1,330,287,553,634 = 1,330,287,553,634 : x
  2. Step 2: Convert to fraction form
    611,466,172,431/1,330,287,553,634 = 1,330,287,553,634/x
  3. Step 3: Cross multiply
    611,466,172,431x = 1,330,287,553,634 × 1,330,287,553,634
  4. Step 4: Simplify right side
    611,466,172,431x = 1,769,664,975,353,532,532,129,792
  5. Step 5: Solve for x
    x = 1,769,664,975,353,532,532,129,792/611,466,172,431
  6. Step 6: Final answer
    x = 2,894,133,895,122.76

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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.