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Finding the Third Proportional to 10,657,052.25 and 23,106,318.75

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Solution

The third proportional to 10,657,052.25 and 23,106,318.75 is: 50,098,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657,052.25 : 23,106,318.75 = 23,106,318.75 : x
  2. Step 2: Convert to fraction form
    10,657,052.25/23,106,318.75 = 23,106,318.75/x
  3. Step 3: Cross multiply
    10,657,052.25x = 23,106,318.75 × 23,106,318.75
  4. Step 4: Simplify right side
    10,657,052.25x = 533,901,966,176,601.56
  5. Step 5: Solve for x
    x = 533,901,966,176,601.56/10,657,052.25
  6. Step 6: Final answer
    x = 50,098,465.66

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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.