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Finding the Third Proportional to 611,466,172,437 and 1,330,287,553,647

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Solution

The third proportional to 611,466,172,437 and 1,330,287,553,647 is: 2,894,133,895,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,466,172,437 : 1,330,287,553,647 = 1,330,287,553,647 : x
  2. Step 2: Convert to fraction form
    611,466,172,437/1,330,287,553,647 = 1,330,287,553,647/x
  3. Step 3: Cross multiply
    611,466,172,437x = 1,330,287,553,647 × 1,330,287,553,647
  4. Step 4: Simplify right side
    611,466,172,437x = 1,769,664,975,388,119,903,764,480
  5. Step 5: Solve for x
    x = 1,769,664,975,388,119,903,764,480/611,466,172,437
  6. Step 6: Final answer
    x = 2,894,133,895,150.92

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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.