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Finding the Third Proportional to 10,209,420 and 15,816,066.75

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Solution

The third proportional to 10,209,420 and 15,816,066.75 is: 24,501,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209,420 : 15,816,066.75 = 15,816,066.75 : x
  2. Step 2: Convert to fraction form
    10,209,420/15,816,066.75 = 15,816,066.75/x
  3. Step 3: Cross multiply
    10,209,420x = 15,816,066.75 × 15,816,066.75
  4. Step 4: Simplify right side
    10,209,420x = 250,147,967,440,455.56
  5. Step 5: Solve for x
    x = 250,147,967,440,455.56/10,209,420
  6. Step 6: Final answer
    x = 24,501,682.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.