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Finding the Third Proportional to 8,184,984.19 and 13,642,164.28

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Solution

The third proportional to 8,184,984.19 and 13,642,164.28 is: 22,737,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184,984.19 : 13,642,164.28 = 13,642,164.28 : x
  2. Step 2: Convert to fraction form
    8,184,984.19/13,642,164.28 = 13,642,164.28/x
  3. Step 3: Cross multiply
    8,184,984.19x = 13,642,164.28 × 13,642,164.28
  4. Step 4: Simplify right side
    8,184,984.19x = 186,108,646,276,613.34
  5. Step 5: Solve for x
    x = 186,108,646,276,613.34/8,184,984.19
  6. Step 6: Final answer
    x = 22,737,813.78

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.