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Finding the Third Proportional to 30,408,294 and 65,569,668

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Solution

The third proportional to 30,408,294 and 65,569,668 is: 141,388,443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,408,294 : 65,569,668 = 65,569,668 : x
  2. Step 2: Convert to fraction form
    30,408,294/65,569,668 = 65,569,668/x
  3. Step 3: Cross multiply
    30,408,294x = 65,569,668 × 65,569,668
  4. Step 4: Simplify right side
    30,408,294x = 4,299,381,361,630,224
  5. Step 5: Solve for x
    x = 4,299,381,361,630,224/30,408,294
  6. Step 6: Final answer
    x = 141,388,443.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.