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Finding the Third Proportional to 9,739,824 and 15,421,944

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Solution

The third proportional to 9,739,824 and 15,421,944 is: 24,418,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739,824 : 15,421,944 = 15,421,944 : x
  2. Step 2: Convert to fraction form
    9,739,824/15,421,944 = 15,421,944/x
  3. Step 3: Cross multiply
    9,739,824x = 15,421,944 × 15,421,944
  4. Step 4: Simplify right side
    9,739,824x = 237,836,356,739,136
  5. Step 5: Solve for x
    x = 237,836,356,739,136/9,739,824
  6. Step 6: Final answer
    x = 24,418,958.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.