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Finding the Third Proportional to 10,628,496 and 16,502,616

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Solution

The third proportional to 10,628,496 and 16,502,616 is: 25,623,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628,496 : 16,502,616 = 16,502,616 : x
  2. Step 2: Convert to fraction form
    10,628,496/16,502,616 = 16,502,616/x
  3. Step 3: Cross multiply
    10,628,496x = 16,502,616 × 16,502,616
  4. Step 4: Simplify right side
    10,628,496x = 272,336,334,843,456
  5. Step 5: Solve for x
    x = 272,336,334,843,456/10,628,496
  6. Step 6: Final answer
    x = 25,623,224.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.