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Finding the Third Proportional to 1,480,013,112 and 3,290,933,784

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Solution

The third proportional to 1,480,013,112 and 3,290,933,784 is: 7,317,668,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,013,112 : 3,290,933,784 = 3,290,933,784 : x
  2. Step 2: Convert to fraction form
    1,480,013,112/3,290,933,784 = 3,290,933,784/x
  3. Step 3: Cross multiply
    1,480,013,112x = 3,290,933,784 × 3,290,933,784
  4. Step 4: Simplify right side
    1,480,013,112x = 10,830,245,170,672,558,080
  5. Step 5: Solve for x
    x = 10,830,245,170,672,558,080/1,480,013,112
  6. Step 6: Final answer
    x = 7,317,668,392.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.