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Finding the Third Proportional to 45,660,944 and 66,853,264

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Solution

The third proportional to 45,660,944 and 66,853,264 is: 97,881,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,660,944 : 66,853,264 = 66,853,264 : x
  2. Step 2: Convert to fraction form
    45,660,944/66,853,264 = 66,853,264/x
  3. Step 3: Cross multiply
    45,660,944x = 66,853,264 × 66,853,264
  4. Step 4: Simplify right side
    45,660,944x = 4,469,358,907,453,696
  5. Step 5: Solve for x
    x = 4,469,358,907,453,696/45,660,944
  6. Step 6: Final answer
    x = 97,881,439.06

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Why These Related Problems?

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