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Finding the Third Proportional to 49,349,486 and 106,927,888

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Solution

The third proportional to 49,349,486 and 106,927,888 is: 231,685,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,349,486 : 106,927,888 = 106,927,888 : x
  2. Step 2: Convert to fraction form
    49,349,486/106,927,888 = 106,927,888/x
  3. Step 3: Cross multiply
    49,349,486x = 106,927,888 × 106,927,888
  4. Step 4: Simplify right side
    49,349,486x = 11,433,573,232,140,544
  5. Step 5: Solve for x
    x = 11,433,573,232,140,544/49,349,486
  6. Step 6: Final answer
    x = 231,685,761.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.