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Finding the Third Proportional to 1,534,680,432 and 3,375,470,880

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Solution

The third proportional to 1,534,680,432 and 3,375,470,880 is: 7,424,219,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,680,432 : 3,375,470,880 = 3,375,470,880 : x
  2. Step 2: Convert to fraction form
    1,534,680,432/3,375,470,880 = 3,375,470,880/x
  3. Step 3: Cross multiply
    1,534,680,432x = 3,375,470,880 × 3,375,470,880
  4. Step 4: Simplify right side
    1,534,680,432x = 11,393,803,661,727,973,376
  5. Step 5: Solve for x
    x = 11,393,803,661,727,973,376/1,534,680,432
  6. Step 6: Final answer
    x = 7,424,219,025.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.