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Finding the Third Proportional to 8,195,802.75 and 12,027,983.63

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Solution

The third proportional to 8,195,802.75 and 12,027,983.63 is: 17,652,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195,802.75 : 12,027,983.63 = 12,027,983.63 : x
  2. Step 2: Convert to fraction form
    8,195,802.75/12,027,983.63 = 12,027,983.63/x
  3. Step 3: Cross multiply
    8,195,802.75x = 12,027,983.63 × 12,027,983.63
  4. Step 4: Simplify right side
    8,195,802.75x = 144,672,390,083,268.12
  5. Step 5: Solve for x
    x = 144,672,390,083,268.12/8,195,802.75
  6. Step 6: Final answer
    x = 17,652,009.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.