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Finding the Third Proportional to 14,363,380 and 30,717,416

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Solution

The third proportional to 14,363,380 and 30,717,416 is: 65,692,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,363,380 : 30,717,416 = 30,717,416 : x
  2. Step 2: Convert to fraction form
    14,363,380/30,717,416 = 30,717,416/x
  3. Step 3: Cross multiply
    14,363,380x = 30,717,416 × 30,717,416
  4. Step 4: Simplify right side
    14,363,380x = 943,559,645,717,056
  5. Step 5: Solve for x
    x = 943,559,645,717,056/14,363,380
  6. Step 6: Final answer
    x = 65,692,033.89

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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.