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Finding the Third Proportional to 12,280,889,418 and 18,864,948,313

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Solution

The third proportional to 12,280,889,418 and 18,864,948,313 is: 28,978,868,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280,889,418 : 18,864,948,313 = 18,864,948,313 : x
  2. Step 2: Convert to fraction form
    12,280,889,418/18,864,948,313 = 18,864,948,313/x
  3. Step 3: Cross multiply
    12,280,889,418x = 18,864,948,313 × 18,864,948,313
  4. Step 4: Simplify right side
    12,280,889,418x = 355,886,274,852,161,519,616
  5. Step 5: Solve for x
    x = 355,886,274,852,161,519,616/12,280,889,418
  6. Step 6: Final answer
    x = 28,978,868,120.95

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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.