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Finding the Third Proportional to 45,660,864 and 66,853,152

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Solution

The third proportional to 45,660,864 and 66,853,152 is: 97,881,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,660,864 : 66,853,152 = 66,853,152 : x
  2. Step 2: Convert to fraction form
    45,660,864/66,853,152 = 66,853,152/x
  3. Step 3: Cross multiply
    45,660,864x = 66,853,152 × 66,853,152
  4. Step 4: Simplify right side
    45,660,864x = 4,469,343,932,335,104
  5. Step 5: Solve for x
    x = 4,469,343,932,335,104/45,660,864
  6. Step 6: Final answer
    x = 97,881,282.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.