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Finding the Third Proportional to 11,319,783.75 and 17,652,282.19

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Solution

The third proportional to 11,319,783.75 and 17,652,282.19 is: 27,527,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,319,783.75 : 17,652,282.19 = 17,652,282.19 : x
  2. Step 2: Convert to fraction form
    11,319,783.75/17,652,282.19 = 17,652,282.19/x
  3. Step 3: Cross multiply
    11,319,783.75x = 17,652,282.19 × 17,652,282.19
  4. Step 4: Simplify right side
    11,319,783.75x = 311,603,066,427,129.81
  5. Step 5: Solve for x
    x = 311,603,066,427,129.81/11,319,783.75
  6. Step 6: Final answer
    x = 27,527,298.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.