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Finding the Third Proportional to 875,680,279.88 and 1,903,781,823.75

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Solution

The third proportional to 875,680,279.88 and 1,903,781,823.75 is: 4,138,936,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,680,279.88 : 1,903,781,823.75 = 1,903,781,823.75 : x
  2. Step 2: Convert to fraction form
    875,680,279.88/1,903,781,823.75 = 1,903,781,823.75/x
  3. Step 3: Cross multiply
    875,680,279.88x = 1,903,781,823.75 × 1,903,781,823.75
  4. Step 4: Simplify right side
    875,680,279.88x = 3,624,385,232,440,876,032
  5. Step 5: Solve for x
    x = 3,624,385,232,440,876,032/875,680,279.88
  6. Step 6: Final answer
    x = 4,138,936,682.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.