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Finding the Third Proportional to 9,789,416 and 20,996,008

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Solution

The third proportional to 9,789,416 and 20,996,008 is: 45,031,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789,416 : 20,996,008 = 20,996,008 : x
  2. Step 2: Convert to fraction form
    9,789,416/20,996,008 = 20,996,008/x
  3. Step 3: Cross multiply
    9,789,416x = 20,996,008 × 20,996,008
  4. Step 4: Simplify right side
    9,789,416x = 440,832,351,936,064
  5. Step 5: Solve for x
    x = 440,832,351,936,064/9,789,416
  6. Step 6: Final answer
    x = 45,031,527.10

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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.