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Finding the Third Proportional to 49,533,994 and 105,061,472

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Solution

The third proportional to 49,533,994 and 105,061,472 is: 222,835,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,533,994 : 105,061,472 = 105,061,472 : x
  2. Step 2: Convert to fraction form
    49,533,994/105,061,472 = 105,061,472/x
  3. Step 3: Cross multiply
    49,533,994x = 105,061,472 × 105,061,472
  4. Step 4: Simplify right side
    49,533,994x = 11,037,912,898,806,784
  5. Step 5: Solve for x
    x = 11,037,912,898,806,784/49,533,994
  6. Step 6: Final answer
    x = 222,835,107.92

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.