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Finding the Third Proportional to 30,771,072 and 65,811,168

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Solution

The third proportional to 30,771,072 and 65,811,168 is: 140,752,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771,072 : 65,811,168 = 65,811,168 : x
  2. Step 2: Convert to fraction form
    30,771,072/65,811,168 = 65,811,168/x
  3. Step 3: Cross multiply
    30,771,072x = 65,811,168 × 65,811,168
  4. Step 4: Simplify right side
    30,771,072x = 4,331,109,833,524,224
  5. Step 5: Solve for x
    x = 4,331,109,833,524,224/30,771,072
  6. Step 6: Final answer
    x = 140,752,646.95

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