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Finding the Third Proportional to 9,678,906 and 13,152,851

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Solution

The third proportional to 9,678,906 and 13,152,851 is: 17,873,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678,906 : 13,152,851 = 13,152,851 : x
  2. Step 2: Convert to fraction form
    9,678,906/13,152,851 = 13,152,851/x
  3. Step 3: Cross multiply
    9,678,906x = 13,152,851 × 13,152,851
  4. Step 4: Simplify right side
    9,678,906x = 172,997,489,428,201
  5. Step 5: Solve for x
    x = 172,997,489,428,201/9,678,906
  6. Step 6: Final answer
    x = 17,873,661.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.