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Finding the Third Proportional to 13,692,310 and 29,667,836

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Solution

The third proportional to 13,692,310 and 29,667,836 is: 64,282,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692,310 : 29,667,836 = 29,667,836 : x
  2. Step 2: Convert to fraction form
    13,692,310/29,667,836 = 29,667,836/x
  3. Step 3: Cross multiply
    13,692,310x = 29,667,836 × 29,667,836
  4. Step 4: Simplify right side
    13,692,310x = 880,180,492,922,896
  5. Step 5: Solve for x
    x = 880,180,492,922,896/13,692,310
  6. Step 6: Final answer
    x = 64,282,834.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.