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Finding the Third Proportional to 12,791,153.81 and 19,680,770.81

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Solution

The third proportional to 12,791,153.81 and 19,680,770.81 is: 30,281,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791,153.81 : 19,680,770.81 = 19,680,770.81 : x
  2. Step 2: Convert to fraction form
    12,791,153.81/19,680,770.81 = 19,680,770.81/x
  3. Step 3: Cross multiply
    12,791,153.81x = 19,680,770.81 × 19,680,770.81
  4. Step 4: Simplify right side
    12,791,153.81x = 387,332,739,774,151.94
  5. Step 5: Solve for x
    x = 387,332,739,774,151.94/12,791,153.81
  6. Step 6: Final answer
    x = 30,281,297.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.