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Finding the Third Proportional to 9,693,744 and 20,390,304

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Solution

The third proportional to 9,693,744 and 20,390,304 is: 42,889,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693,744 : 20,390,304 = 20,390,304 : x
  2. Step 2: Convert to fraction form
    9,693,744/20,390,304 = 20,390,304/x
  3. Step 3: Cross multiply
    9,693,744x = 20,390,304 × 20,390,304
  4. Step 4: Simplify right side
    9,693,744x = 415,764,497,212,416
  5. Step 5: Solve for x
    x = 415,764,497,212,416/9,693,744
  6. Step 6: Final answer
    x = 42,889,981.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.