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Finding the Third Proportional to 1,377,393,712 and 2,812,601,011

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Solution

The third proportional to 1,377,393,712 and 2,812,601,011 is: 5,743,255,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,393,712 : 2,812,601,011 = 2,812,601,011 : x
  2. Step 2: Convert to fraction form
    1,377,393,712/2,812,601,011 = 2,812,601,011/x
  3. Step 3: Cross multiply
    1,377,393,712x = 2,812,601,011 × 2,812,601,011
  4. Step 4: Simplify right side
    1,377,393,712x = 7,910,724,447,078,221,824
  5. Step 5: Solve for x
    x = 7,910,724,447,078,221,824/1,377,393,712
  6. Step 6: Final answer
    x = 5,743,255,815.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.