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Finding the Third Proportional to 45,660,960 and 66,853,290

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Solution

The third proportional to 45,660,960 and 66,853,290 is: 97,881,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,660,960 : 66,853,290 = 66,853,290 : x
  2. Step 2: Convert to fraction form
    45,660,960/66,853,290 = 66,853,290/x
  3. Step 3: Cross multiply
    45,660,960x = 66,853,290 × 66,853,290
  4. Step 4: Simplify right side
    45,660,960x = 4,469,362,383,824,100
  5. Step 5: Solve for x
    x = 4,469,362,383,824,100/45,660,960
  6. Step 6: Final answer
    x = 97,881,480.89

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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.