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Finding the Third Proportional to 30,880,416 and 66,001,504

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Solution

The third proportional to 30,880,416 and 66,001,504 is: 141,066,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880,416 : 66,001,504 = 66,001,504 : x
  2. Step 2: Convert to fraction form
    30,880,416/66,001,504 = 66,001,504/x
  3. Step 3: Cross multiply
    30,880,416x = 66,001,504 × 66,001,504
  4. Step 4: Simplify right side
    30,880,416x = 4,356,198,530,262,016
  5. Step 5: Solve for x
    x = 4,356,198,530,262,016/30,880,416
  6. Step 6: Final answer
    x = 141,066,704.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.