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Finding the Third Proportional to 9,918,824 and 15,320,217

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Solution

The third proportional to 9,918,824 and 15,320,217 is: 23,662,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918,824 : 15,320,217 = 15,320,217 : x
  2. Step 2: Convert to fraction form
    9,918,824/15,320,217 = 15,320,217/x
  3. Step 3: Cross multiply
    9,918,824x = 15,320,217 × 15,320,217
  4. Step 4: Simplify right side
    9,918,824x = 234,709,048,927,089
  5. Step 5: Solve for x
    x = 234,709,048,927,089/9,918,824
  6. Step 6: Final answer
    x = 23,662,991.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.