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Finding the Third Proportional to 10,242,811.13 and 15,431,878.69

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Solution

The third proportional to 10,242,811.13 and 15,431,878.69 is: 23,249,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242,811.13 : 15,431,878.69 = 15,431,878.69 : x
  2. Step 2: Convert to fraction form
    10,242,811.13/15,431,878.69 = 15,431,878.69/x
  3. Step 3: Cross multiply
    10,242,811.13x = 15,431,878.69 × 15,431,878.69
  4. Step 4: Simplify right side
    10,242,811.13x = 238,142,879,825,716.72
  5. Step 5: Solve for x
    x = 238,142,879,825,716.72/10,242,811.13
  6. Step 6: Final answer
    x = 23,249,757.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.