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Finding the Third Proportional to 10,380,941.63 and 22,716,881.81

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Solution

The third proportional to 10,380,941.63 and 22,716,881.81 is: 49,711,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380,941.63 : 22,716,881.81 = 22,716,881.81 : x
  2. Step 2: Convert to fraction form
    10,380,941.63/22,716,881.81 = 22,716,881.81/x
  3. Step 3: Cross multiply
    10,380,941.63x = 22,716,881.81 × 22,716,881.81
  4. Step 4: Simplify right side
    10,380,941.63x = 516,056,719,283,093.31
  5. Step 5: Solve for x
    x = 516,056,719,283,093.31/10,380,941.63
  6. Step 6: Final answer
    x = 49,711,937.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.