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Finding the Third Proportional to 23,142,299 and 49,767,382

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Solution

The third proportional to 23,142,299 and 49,767,382 is: 107,024,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142,299 : 49,767,382 = 49,767,382 : x
  2. Step 2: Convert to fraction form
    23,142,299/49,767,382 = 49,767,382/x
  3. Step 3: Cross multiply
    23,142,299x = 49,767,382 × 49,767,382
  4. Step 4: Simplify right side
    23,142,299x = 2,476,792,311,133,924
  5. Step 5: Solve for x
    x = 2,476,792,311,133,924/23,142,299
  6. Step 6: Final answer
    x = 107,024,471.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.