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Finding the Third Proportional to 8,195,803 and 12,027,984

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Solution

The third proportional to 8,195,803 and 12,027,984 is: 17,652,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195,803 : 12,027,984 = 12,027,984 : x
  2. Step 2: Convert to fraction form
    8,195,803/12,027,984 = 12,027,984/x
  3. Step 3: Cross multiply
    8,195,803x = 12,027,984 × 12,027,984
  4. Step 4: Simplify right side
    8,195,803x = 144,672,399,104,256
  5. Step 5: Solve for x
    x = 144,672,399,104,256/8,195,803
  6. Step 6: Final answer
    x = 17,652,010.32

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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.