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Finding the Third Proportional to 4,501,926 and 9,857,727

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Solution

The third proportional to 4,501,926 and 9,857,727 is: 21,585,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501,926 : 9,857,727 = 9,857,727 : x
  2. Step 2: Convert to fraction form
    4,501,926/9,857,727 = 9,857,727/x
  3. Step 3: Cross multiply
    4,501,926x = 9,857,727 × 9,857,727
  4. Step 4: Simplify right side
    4,501,926x = 97,174,781,606,529
  5. Step 5: Solve for x
    x = 97,174,781,606,529/4,501,926
  6. Step 6: Final answer
    x = 21,585,157.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.