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Finding the Third Proportional to 42,705,054 and 66,181,131

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Solution

The third proportional to 42,705,054 and 66,181,131 is: 102,562,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,705,054 : 66,181,131 = 66,181,131 : x
  2. Step 2: Convert to fraction form
    42,705,054/66,181,131 = 66,181,131/x
  3. Step 3: Cross multiply
    42,705,054x = 66,181,131 × 66,181,131
  4. Step 4: Simplify right side
    42,705,054x = 4,379,942,100,439,161
  5. Step 5: Solve for x
    x = 4,379,942,100,439,161/42,705,054
  6. Step 6: Final answer
    x = 102,562,617.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.