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Finding the Third Proportional to 380,679,102 and 833,896,620

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Solution

The third proportional to 380,679,102 and 833,896,620 is: 1,826,692,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,679,102 : 833,896,620 = 833,896,620 : x
  2. Step 2: Convert to fraction form
    380,679,102/833,896,620 = 833,896,620/x
  3. Step 3: Cross multiply
    380,679,102x = 833,896,620 × 833,896,620
  4. Step 4: Simplify right side
    380,679,102x = 695,383,572,847,424,384
  5. Step 5: Solve for x
    x = 695,383,572,847,424,384/380,679,102
  6. Step 6: Final answer
    x = 1,826,692,269.67

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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.