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Finding the Third Proportional to 10,489,510 and 16,200,097

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Solution

The third proportional to 10,489,510 and 16,200,097 is: 25,019,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489,510 : 16,200,097 = 16,200,097 : x
  2. Step 2: Convert to fraction form
    10,489,510/16,200,097 = 16,200,097/x
  3. Step 3: Cross multiply
    10,489,510x = 16,200,097 × 16,200,097
  4. Step 4: Simplify right side
    10,489,510x = 262,443,142,809,409
  5. Step 5: Solve for x
    x = 262,443,142,809,409/10,489,510
  6. Step 6: Final answer
    x = 25,019,580.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.