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Finding the Third Proportional to 241,456,346 and 523,745,032

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Solution

The third proportional to 241,456,346 and 523,745,032 is: 1,136,059,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,456,346 : 523,745,032 = 523,745,032 : x
  2. Step 2: Convert to fraction form
    241,456,346/523,745,032 = 523,745,032/x
  3. Step 3: Cross multiply
    241,456,346x = 523,745,032 × 523,745,032
  4. Step 4: Simplify right side
    241,456,346x = 274,308,858,544,681,024
  5. Step 5: Solve for x
    x = 274,308,858,544,681,024/241,456,346
  6. Step 6: Final answer
    x = 1,136,059,843.07

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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.