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Finding the Third Proportional to 63,026,670 and 137,096,232

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Solution

The third proportional to 63,026,670 and 137,096,232 is: 298,213,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,026,670 : 137,096,232 = 137,096,232 : x
  2. Step 2: Convert to fraction form
    63,026,670/137,096,232 = 137,096,232/x
  3. Step 3: Cross multiply
    63,026,670x = 137,096,232 × 137,096,232
  4. Step 4: Simplify right side
    63,026,670x = 18,795,376,828,597,824
  5. Step 5: Solve for x
    x = 18,795,376,828,597,824/63,026,670
  6. Step 6: Final answer
    x = 298,213,071.21

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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.