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Finding the Third Proportional to 838,748,338 and 1,250,848,977

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Solution

The third proportional to 838,748,338 and 1,250,848,977 is: 1,865,426,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,748,338 : 1,250,848,977 = 1,250,848,977 : x
  2. Step 2: Convert to fraction form
    838,748,338/1,250,848,977 = 1,250,848,977/x
  3. Step 3: Cross multiply
    838,748,338x = 1,250,848,977 × 1,250,848,977
  4. Step 4: Simplify right side
    838,748,338x = 1,564,623,163,261,946,624
  5. Step 5: Solve for x
    x = 1,564,623,163,261,946,624/838,748,338
  6. Step 6: Final answer
    x = 1,865,426,245.72

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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.