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Finding the Third Proportional to 9,693,764 and 20,390,344

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Solution

The third proportional to 9,693,764 and 20,390,344 is: 42,890,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693,764 : 20,390,344 = 20,390,344 : x
  2. Step 2: Convert to fraction form
    9,693,764/20,390,344 = 20,390,344/x
  3. Step 3: Cross multiply
    9,693,764x = 20,390,344 × 20,390,344
  4. Step 4: Simplify right side
    9,693,764x = 415,766,128,438,336
  5. Step 5: Solve for x
    x = 415,766,128,438,336/9,693,764
  6. Step 6: Final answer
    x = 42,890,060.91

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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.