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Finding the Third Proportional to 47,822,434 and 99,047,680

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Solution

The third proportional to 47,822,434 and 99,047,680 is: 205,143,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,822,434 : 99,047,680 = 99,047,680 : x
  2. Step 2: Convert to fraction form
    47,822,434/99,047,680 = 99,047,680/x
  3. Step 3: Cross multiply
    47,822,434x = 99,047,680 × 99,047,680
  4. Step 4: Simplify right side
    47,822,434x = 9,810,442,913,382,400
  5. Step 5: Solve for x
    x = 9,810,442,913,382,400/47,822,434
  6. Step 6: Final answer
    x = 205,143,111.57

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.