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Finding the Third Proportional to 9,789,563 and 20,996,262

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Solution

The third proportional to 9,789,563 and 20,996,262 is: 45,031,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789,563 : 20,996,262 = 20,996,262 : x
  2. Step 2: Convert to fraction form
    9,789,563/20,996,262 = 20,996,262/x
  3. Step 3: Cross multiply
    9,789,563x = 20,996,262 × 20,996,262
  4. Step 4: Simplify right side
    9,789,563x = 440,843,017,972,644
  5. Step 5: Solve for x
    x = 440,843,017,972,644/9,789,563
  6. Step 6: Final answer
    x = 45,031,940.44

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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.