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Finding the Third Proportional to 7,322,413 and 15,746,786

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Solution

The third proportional to 7,322,413 and 15,746,786 is: 33,863,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322,413 : 15,746,786 = 15,746,786 : x
  2. Step 2: Convert to fraction form
    7,322,413/15,746,786 = 15,746,786/x
  3. Step 3: Cross multiply
    7,322,413x = 15,746,786 × 15,746,786
  4. Step 4: Simplify right side
    7,322,413x = 247,961,269,329,796
  5. Step 5: Solve for x
    x = 247,961,269,329,796/7,322,413
  6. Step 6: Final answer
    x = 33,863,327.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.