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Finding the Third Proportional to 21,136,274.16 and 32,727,164.06

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Solution

The third proportional to 21,136,274.16 and 32,727,164.06 is: 50,674,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136,274.16 : 32,727,164.06 = 32,727,164.06 : x
  2. Step 2: Convert to fraction form
    21,136,274.16/32,727,164.06 = 32,727,164.06/x
  3. Step 3: Cross multiply
    21,136,274.16x = 32,727,164.06 × 32,727,164.06
  4. Step 4: Simplify right side
    21,136,274.16x = 1,071,067,267,573,791.50
  5. Step 5: Solve for x
    x = 1,071,067,267,573,791.50/21,136,274.16
  6. Step 6: Final answer
    x = 50,674,364.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.