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Finding the Third Proportional to 584,558,912.25 and 1,272,023,739

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Solution

The third proportional to 584,558,912.25 and 1,272,023,739 is: 2,767,974,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,558,912.25 : 1,272,023,739 = 1,272,023,739 : x
  2. Step 2: Convert to fraction form
    584,558,912.25/1,272,023,739 = 1,272,023,739/x
  3. Step 3: Cross multiply
    584,558,912.25x = 1,272,023,739 × 1,272,023,739
  4. Step 4: Simplify right side
    584,558,912.25x = 1,618,044,392,579,540,224
  5. Step 5: Solve for x
    x = 1,618,044,392,579,540,224/584,558,912.25
  6. Step 6: Final answer
    x = 2,767,974,892.99

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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.