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Finding the Third Proportional to 9,693,754 and 20,390,324

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Solution

The third proportional to 9,693,754 and 20,390,324 is: 42,890,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693,754 : 20,390,324 = 20,390,324 : x
  2. Step 2: Convert to fraction form
    9,693,754/20,390,324 = 20,390,324/x
  3. Step 3: Cross multiply
    9,693,754x = 20,390,324 × 20,390,324
  4. Step 4: Simplify right side
    9,693,754x = 415,765,312,824,976
  5. Step 5: Solve for x
    x = 415,765,312,824,976/9,693,754
  6. Step 6: Final answer
    x = 42,890,021.02

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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.