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Finding the Third Proportional to 15,712,864 and 33,827,144

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Solution

The third proportional to 15,712,864 and 33,827,144 is: 72,824,131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712,864 : 33,827,144 = 33,827,144 : x
  2. Step 2: Convert to fraction form
    15,712,864/33,827,144 = 33,827,144/x
  3. Step 3: Cross multiply
    15,712,864x = 33,827,144 × 33,827,144
  4. Step 4: Simplify right side
    15,712,864x = 1,144,275,671,196,736
  5. Step 5: Solve for x
    x = 1,144,275,671,196,736/15,712,864
  6. Step 6: Final answer
    x = 72,824,131.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.