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Finding the Third Proportional to 6,461,066 and 10,136,919

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Solution

The third proportional to 6,461,066 and 10,136,919 is: 15,904,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,066 : 10,136,919 = 10,136,919 : x
  2. Step 2: Convert to fraction form
    6,461,066/10,136,919 = 10,136,919/x
  3. Step 3: Cross multiply
    6,461,066x = 10,136,919 × 10,136,919
  4. Step 4: Simplify right side
    6,461,066x = 102,757,126,812,561
  5. Step 5: Solve for x
    x = 102,757,126,812,561/6,461,066
  6. Step 6: Final answer
    x = 15,904,051.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.