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Finding the Third Proportional to 381,265,946 and 589,153,107

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Solution

The third proportional to 381,265,946 and 589,153,107 is: 910,391,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,265,946 : 589,153,107 = 589,153,107 : x
  2. Step 2: Convert to fraction form
    381,265,946/589,153,107 = 589,153,107/x
  3. Step 3: Cross multiply
    381,265,946x = 589,153,107 × 589,153,107
  4. Step 4: Simplify right side
    381,265,946x = 347,101,383,487,753,472
  5. Step 5: Solve for x
    x = 347,101,383,487,753,472/381,265,946
  6. Step 6: Final answer
    x = 910,391,780.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.