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Finding the Third Proportional to 842,278,950 and 1,817,733,627

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Solution

The third proportional to 842,278,950 and 1,817,733,627 is: 3,922,875,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,278,950 : 1,817,733,627 = 1,817,733,627 : x
  2. Step 2: Convert to fraction form
    842,278,950/1,817,733,627 = 1,817,733,627/x
  3. Step 3: Cross multiply
    842,278,950x = 1,817,733,627 × 1,817,733,627
  4. Step 4: Simplify right side
    842,278,950x = 3,304,155,538,726,575,104
  5. Step 5: Solve for x
    x = 3,304,155,538,726,575,104/842,278,950
  6. Step 6: Final answer
    x = 3,922,875,596.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.