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Finding the Third Proportional to 838,748,334 and 1,250,848,972

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Solution

The third proportional to 838,748,334 and 1,250,848,972 is: 1,865,426,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,748,334 : 1,250,848,972 = 1,250,848,972 : x
  2. Step 2: Convert to fraction form
    838,748,334/1,250,848,972 = 1,250,848,972/x
  3. Step 3: Cross multiply
    838,748,334x = 1,250,848,972 × 1,250,848,972
  4. Step 4: Simplify right side
    838,748,334x = 1,564,623,150,753,456,896
  5. Step 5: Solve for x
    x = 1,564,623,150,753,456,896/838,748,334
  6. Step 6: Final answer
    x = 1,865,426,239.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.