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Finding the Third Proportional to 42,416,822.25 and 64,857,942

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Solution

The third proportional to 42,416,822.25 and 64,857,942 is: 99,171,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,416,822.25 : 64,857,942 = 64,857,942 : x
  2. Step 2: Convert to fraction form
    42,416,822.25/64,857,942 = 64,857,942/x
  3. Step 3: Cross multiply
    42,416,822.25x = 64,857,942 × 64,857,942
  4. Step 4: Simplify right side
    42,416,822.25x = 4,206,552,640,475,364
  5. Step 5: Solve for x
    x = 4,206,552,640,475,364/42,416,822.25
  6. Step 6: Final answer
    x = 99,171,800.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.