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Finding the Third Proportional to 30,697,110 and 66,039,408

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Solution

The third proportional to 30,697,110 and 66,039,408 is: 142,072,117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697,110 : 66,039,408 = 66,039,408 : x
  2. Step 2: Convert to fraction form
    30,697,110/66,039,408 = 66,039,408/x
  3. Step 3: Cross multiply
    30,697,110x = 66,039,408 × 66,039,408
  4. Step 4: Simplify right side
    30,697,110x = 4,361,203,408,990,464
  5. Step 5: Solve for x
    x = 4,361,203,408,990,464/30,697,110
  6. Step 6: Final answer
    x = 142,072,117.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.