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Finding the Third Proportional to 9,815,316 and 20,966,571

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Solution

The third proportional to 9,815,316 and 20,966,571 is: 44,786,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815,316 : 20,966,571 = 20,966,571 : x
  2. Step 2: Convert to fraction form
    9,815,316/20,966,571 = 20,966,571/x
  3. Step 3: Cross multiply
    9,815,316x = 20,966,571 × 20,966,571
  4. Step 4: Simplify right side
    9,815,316x = 439,597,099,498,041
  5. Step 5: Solve for x
    x = 439,597,099,498,041/9,815,316
  6. Step 6: Final answer
    x = 44,786,851.44

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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.