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Finding the Third Proportional to 63,026,784 and 137,096,512

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Solution

The third proportional to 63,026,784 and 137,096,512 is: 298,213,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,026,784 : 137,096,512 = 137,096,512 : x
  2. Step 2: Convert to fraction form
    63,026,784/137,096,512 = 137,096,512/x
  3. Step 3: Cross multiply
    63,026,784x = 137,096,512 × 137,096,512
  4. Step 4: Simplify right side
    63,026,784x = 18,795,453,602,566,144
  5. Step 5: Solve for x
    x = 18,795,453,602,566,144/63,026,784
  6. Step 6: Final answer
    x = 298,213,749.93

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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.