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Finding the Third Proportional to 12,641,973.75 and 27,201,399.75

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Solution

The third proportional to 12,641,973.75 and 27,201,399.75 is: 58,528,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641,973.75 : 27,201,399.75 = 27,201,399.75 : x
  2. Step 2: Convert to fraction form
    12,641,973.75/27,201,399.75 = 27,201,399.75/x
  3. Step 3: Cross multiply
    12,641,973.75x = 27,201,399.75 × 27,201,399.75
  4. Step 4: Simplify right side
    12,641,973.75x = 739,916,148,359,300
  5. Step 5: Solve for x
    x = 739,916,148,359,300/12,641,973.75
  6. Step 6: Final answer
    x = 58,528,530.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.