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Finding the Third Proportional to 6,943,926 and 10,315,366

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Solution

The third proportional to 6,943,926 and 10,315,366 is: 15,323,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943,926 : 10,315,366 = 10,315,366 : x
  2. Step 2: Convert to fraction form
    6,943,926/10,315,366 = 10,315,366/x
  3. Step 3: Cross multiply
    6,943,926x = 10,315,366 × 10,315,366
  4. Step 4: Simplify right side
    6,943,926x = 106,406,775,713,956
  5. Step 5: Solve for x
    x = 106,406,775,713,956/6,943,926
  6. Step 6: Final answer
    x = 15,323,719.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.