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Finding the Third Proportional to 7,033,976 and 15,242,136

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Solution

The third proportional to 7,033,976 and 15,242,136 is: 33,028,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033,976 : 15,242,136 = 15,242,136 : x
  2. Step 2: Convert to fraction form
    7,033,976/15,242,136 = 15,242,136/x
  3. Step 3: Cross multiply
    7,033,976x = 15,242,136 × 15,242,136
  4. Step 4: Simplify right side
    7,033,976x = 232,322,709,842,496
  5. Step 5: Solve for x
    x = 232,322,709,842,496/7,033,976
  6. Step 6: Final answer
    x = 33,028,646.93

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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.