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Finding the Third Proportional to 12,884,599.13 and 27,613,591.03

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Solution

The third proportional to 12,884,599.13 and 27,613,591.03 is: 59,179,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884,599.13 : 27,613,591.03 = 27,613,591.03 : x
  2. Step 2: Convert to fraction form
    12,884,599.13/27,613,591.03 = 27,613,591.03/x
  3. Step 3: Cross multiply
    12,884,599.13x = 27,613,591.03 × 27,613,591.03
  4. Step 4: Simplify right side
    12,884,599.13x = 762,510,409,641,130.50
  5. Step 5: Solve for x
    x = 762,510,409,641,130.50/12,884,599.13
  6. Step 6: Final answer
    x = 59,179,987.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.