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Finding the Third Proportional to 10,085,824 and 21,852,032

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Solution

The third proportional to 10,085,824 and 21,852,032 is: 47,344,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085,824 : 21,852,032 = 21,852,032 : x
  2. Step 2: Convert to fraction form
    10,085,824/21,852,032 = 21,852,032/x
  3. Step 3: Cross multiply
    10,085,824x = 21,852,032 × 21,852,032
  4. Step 4: Simplify right side
    10,085,824x = 477,511,302,529,024
  5. Step 5: Solve for x
    x = 477,511,302,529,024/10,085,824
  6. Step 6: Final answer
    x = 47,344,798.26

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