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Finding the Third Proportional to 4,328,299,431 and 9,453,494,520

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Solution

The third proportional to 4,328,299,431 and 9,453,494,520 is: 20,647,499,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328,299,431 : 9,453,494,520 = 9,453,494,520 : x
  2. Step 2: Convert to fraction form
    4,328,299,431/9,453,494,520 = 9,453,494,520/x
  3. Step 3: Cross multiply
    4,328,299,431x = 9,453,494,520 × 9,453,494,520
  4. Step 4: Simplify right side
    4,328,299,431x = 89,368,558,639,670,034,432
  5. Step 5: Solve for x
    x = 89,368,558,639,670,034,432/4,328,299,431
  6. Step 6: Final answer
    x = 20,647,499,107.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.