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Finding the Third Proportional to 23,509,445,346 and 51,151,197,060

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Solution

The third proportional to 23,509,445,346 and 51,151,197,060 is: 111,293,351,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509,445,346 : 51,151,197,060 = 51,151,197,060 : x
  2. Step 2: Convert to fraction form
    23,509,445,346/51,151,197,060 = 51,151,197,060/x
  3. Step 3: Cross multiply
    23,509,445,346x = 51,151,197,060 × 51,151,197,060
  4. Step 4: Simplify right side
    23,509,445,346x = 2,616,444,960,670,952,718,336
  5. Step 5: Solve for x
    x = 2,616,444,960,670,952,718,336/23,509,445,346
  6. Step 6: Final answer
    x = 111,293,351,338.73

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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.