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Finding the Third Proportional to 7,523,148 and 17,756,376

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Solution

The third proportional to 7,523,148 and 17,756,376 is: 41,909,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523,148 : 17,756,376 = 17,756,376 : x
  2. Step 2: Convert to fraction form
    7,523,148/17,756,376 = 17,756,376/x
  3. Step 3: Cross multiply
    7,523,148x = 17,756,376 × 17,756,376
  4. Step 4: Simplify right side
    7,523,148x = 315,288,888,653,376
  5. Step 5: Solve for x
    x = 315,288,888,653,376/7,523,148
  6. Step 6: Final answer
    x = 41,909,170.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.