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Finding the Third Proportional to 9,718,851 and 20,996,346

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Solution

The third proportional to 9,718,851 and 20,996,346 is: 45,359,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718,851 : 20,996,346 = 20,996,346 : x
  2. Step 2: Convert to fraction form
    9,718,851/20,996,346 = 20,996,346/x
  3. Step 3: Cross multiply
    9,718,851x = 20,996,346 × 20,996,346
  4. Step 4: Simplify right side
    9,718,851x = 440,846,545,351,716
  5. Step 5: Solve for x
    x = 440,846,545,351,716/9,718,851
  6. Step 6: Final answer
    x = 45,359,944.85

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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.