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Finding the Third Proportional to 922,193,776 and 1,976,184,912

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Solution

The third proportional to 922,193,776 and 1,976,184,912 is: 4,234,800,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,193,776 : 1,976,184,912 = 1,976,184,912 : x
  2. Step 2: Convert to fraction form
    922,193,776/1,976,184,912 = 1,976,184,912/x
  3. Step 3: Cross multiply
    922,193,776x = 1,976,184,912 × 1,976,184,912
  4. Step 4: Simplify right side
    922,193,776x = 3,905,306,806,416,447,488
  5. Step 5: Solve for x
    x = 3,905,306,806,416,447,488/922,193,776
  6. Step 6: Final answer
    x = 4,234,800,654.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.