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Finding the Third Proportional to 35,272,923.75 and 71,963,016.75

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Solution

The third proportional to 35,272,923.75 and 71,963,016.75 is: 146,817,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,272,923.75 : 71,963,016.75 = 71,963,016.75 : x
  2. Step 2: Convert to fraction form
    35,272,923.75/71,963,016.75 = 71,963,016.75/x
  3. Step 3: Cross multiply
    35,272,923.75x = 71,963,016.75 × 71,963,016.75
  4. Step 4: Simplify right side
    35,272,923.75x = 5,178,675,779,760,781
  5. Step 5: Solve for x
    x = 5,178,675,779,760,781/35,272,923.75
  6. Step 6: Final answer
    x = 146,817,309.97

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.