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Finding the Third Proportional to 10,781,322.19 and 23,381,727.38

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Solution

The third proportional to 10,781,322.19 and 23,381,727.38 is: 50,708,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781,322.19 : 23,381,727.38 = 23,381,727.38 : x
  2. Step 2: Convert to fraction form
    10,781,322.19/23,381,727.38 = 23,381,727.38/x
  3. Step 3: Cross multiply
    10,781,322.19x = 23,381,727.38 × 23,381,727.38
  4. Step 4: Simplify right side
    10,781,322.19x = 546,705,175,038,824.38
  5. Step 5: Solve for x
    x = 546,705,175,038,824.38/10,781,322.19
  6. Step 6: Final answer
    x = 50,708,546.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.