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Finding the Third Proportional to 2,807,537 and 5,748,071

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Solution

The third proportional to 2,807,537 and 5,748,071 is: 11,768,436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807,537 : 5,748,071 = 5,748,071 : x
  2. Step 2: Convert to fraction form
    2,807,537/5,748,071 = 5,748,071/x
  3. Step 3: Cross multiply
    2,807,537x = 5,748,071 × 5,748,071
  4. Step 4: Simplify right side
    2,807,537x = 33,040,320,221,041
  5. Step 5: Solve for x
    x = 33,040,320,221,041/2,807,537
  6. Step 6: Final answer
    x = 11,768,436.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.