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Finding the Third Proportional to 8,009,160 and 16,586,100

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Solution

The third proportional to 8,009,160 and 16,586,100 is: 34,348,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009,160 : 16,586,100 = 16,586,100 : x
  2. Step 2: Convert to fraction form
    8,009,160/16,586,100 = 16,586,100/x
  3. Step 3: Cross multiply
    8,009,160x = 16,586,100 × 16,586,100
  4. Step 4: Simplify right side
    8,009,160x = 275,098,713,210,000
  5. Step 5: Solve for x
    x = 275,098,713,210,000/8,009,160
  6. Step 6: Final answer
    x = 34,348,010.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.