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Finding the Third Proportional to 7,312,146 and 15,844,636

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Solution

The third proportional to 7,312,146 and 15,844,636 is: 34,333,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312,146 : 15,844,636 = 15,844,636 : x
  2. Step 2: Convert to fraction form
    7,312,146/15,844,636 = 15,844,636/x
  3. Step 3: Cross multiply
    7,312,146x = 15,844,636 × 15,844,636
  4. Step 4: Simplify right side
    7,312,146x = 251,052,489,972,496
  5. Step 5: Solve for x
    x = 251,052,489,972,496/7,312,146
  6. Step 6: Final answer
    x = 34,333,626.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.