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Finding the Third Proportional to 7,607,600 and 16,413,610

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Solution

The third proportional to 7,607,600 and 16,413,610 is: 35,412,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607,600 : 16,413,610 = 16,413,610 : x
  2. Step 2: Convert to fraction form
    7,607,600/16,413,610 = 16,413,610/x
  3. Step 3: Cross multiply
    7,607,600x = 16,413,610 × 16,413,610
  4. Step 4: Simplify right side
    7,607,600x = 269,406,593,232,100
  5. Step 5: Solve for x
    x = 269,406,593,232,100/7,607,600
  6. Step 6: Final answer
    x = 35,412,823.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.