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Finding the Third Proportional to 7,605,114 and 16,910,346

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Solution

The third proportional to 7,605,114 and 16,910,346 is: 37,600,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605,114 : 16,910,346 = 16,910,346 : x
  2. Step 2: Convert to fraction form
    7,605,114/16,910,346 = 16,910,346/x
  3. Step 3: Cross multiply
    7,605,114x = 16,910,346 × 16,910,346
  4. Step 4: Simplify right side
    7,605,114x = 285,959,801,839,716
  5. Step 5: Solve for x
    x = 285,959,801,839,716/7,605,114
  6. Step 6: Final answer
    x = 37,600,988.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.