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Finding the Third Proportional to 380,679,100 and 833,896,616

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Solution

The third proportional to 380,679,100 and 833,896,616 is: 1,826,692,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,679,100 : 833,896,616 = 833,896,616 : x
  2. Step 2: Convert to fraction form
    380,679,100/833,896,616 = 833,896,616/x
  3. Step 3: Cross multiply
    380,679,100x = 833,896,616 × 833,896,616
  4. Step 4: Simplify right side
    380,679,100x = 695,383,566,176,251,392
  5. Step 5: Solve for x
    x = 695,383,566,176,251,392/380,679,100
  6. Step 6: Final answer
    x = 1,826,692,261.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.