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Finding the Third Proportional to 31,516,752 and 69,012,216

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Solution

The third proportional to 31,516,752 and 69,012,216 is: 151,116,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516,752 : 69,012,216 = 69,012,216 : x
  2. Step 2: Convert to fraction form
    31,516,752/69,012,216 = 69,012,216/x
  3. Step 3: Cross multiply
    31,516,752x = 69,012,216 × 69,012,216
  4. Step 4: Simplify right side
    31,516,752x = 4,762,685,957,230,656
  5. Step 5: Solve for x
    x = 4,762,685,957,230,656/31,516,752
  6. Step 6: Final answer
    x = 151,116,014.66

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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.