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Finding the Third Proportional to 2,791,054.13 and 5,700,196.13

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Solution

The third proportional to 2,791,054.13 and 5,700,196.13 is: 11,641,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791,054.13 : 5,700,196.13 = 5,700,196.13 : x
  2. Step 2: Convert to fraction form
    2,791,054.13/5,700,196.13 = 5,700,196.13/x
  3. Step 3: Cross multiply
    2,791,054.13x = 5,700,196.13 × 5,700,196.13
  4. Step 4: Simplify right side
    2,791,054.13x = 32,492,235,863,465.02
  5. Step 5: Solve for x
    x = 32,492,235,863,465.02/2,791,054.13
  6. Step 6: Final answer
    x = 11,641,564.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.