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Finding the Third Proportional to 4,441,824 and 9,644,724

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Solution

The third proportional to 4,441,824 and 9,644,724 is: 20,942,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441,824 : 9,644,724 = 9,644,724 : x
  2. Step 2: Convert to fraction form
    4,441,824/9,644,724 = 9,644,724/x
  3. Step 3: Cross multiply
    4,441,824x = 9,644,724 × 9,644,724
  4. Step 4: Simplify right side
    4,441,824x = 93,020,701,036,176
  5. Step 5: Solve for x
    x = 93,020,701,036,176/4,441,824
  6. Step 6: Final answer
    x = 20,942,005.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.