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Finding the Third Proportional to 11,431,294 and 24,657,380

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Solution

The third proportional to 11,431,294 and 24,657,380 is: 53,186,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431,294 : 24,657,380 = 24,657,380 : x
  2. Step 2: Convert to fraction form
    11,431,294/24,657,380 = 24,657,380/x
  3. Step 3: Cross multiply
    11,431,294x = 24,657,380 × 24,657,380
  4. Step 4: Simplify right side
    11,431,294x = 607,986,388,464,400
  5. Step 5: Solve for x
    x = 607,986,388,464,400/11,431,294
  6. Step 6: Final answer
    x = 53,186,138.72

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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.