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Finding the Third Proportional to 31,516,764 and 69,012,240

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Solution

The third proportional to 31,516,764 and 69,012,240 is: 151,116,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516,764 : 69,012,240 = 69,012,240 : x
  2. Step 2: Convert to fraction form
    31,516,764/69,012,240 = 69,012,240/x
  3. Step 3: Cross multiply
    31,516,764x = 69,012,240 × 69,012,240
  4. Step 4: Simplify right side
    31,516,764x = 4,762,689,269,817,600
  5. Step 5: Solve for x
    x = 4,762,689,269,817,600/31,516,764
  6. Step 6: Final answer
    x = 151,116,062.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.