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Finding the Third Proportional to 31,501,293 and 49,416,230

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Solution

The third proportional to 31,501,293 and 49,416,230 is: 77,519,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501,293 : 49,416,230 = 49,416,230 : x
  2. Step 2: Convert to fraction form
    31,501,293/49,416,230 = 49,416,230/x
  3. Step 3: Cross multiply
    31,501,293x = 49,416,230 × 49,416,230
  4. Step 4: Simplify right side
    31,501,293x = 2,441,963,787,412,900
  5. Step 5: Solve for x
    x = 2,441,963,787,412,900/31,501,293
  6. Step 6: Final answer
    x = 77,519,477.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.