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Finding the Third Proportional to 12,284,298 and 19,268,685

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Solution

The third proportional to 12,284,298 and 19,268,685 is: 30,224,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284,298 : 19,268,685 = 19,268,685 : x
  2. Step 2: Convert to fraction form
    12,284,298/19,268,685 = 19,268,685/x
  3. Step 3: Cross multiply
    12,284,298x = 19,268,685 × 19,268,685
  4. Step 4: Simplify right side
    12,284,298x = 371,282,221,629,225
  5. Step 5: Solve for x
    x = 371,282,221,629,225/12,284,298
  6. Step 6: Final answer
    x = 30,224,130.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.