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Finding the Third Proportional to 31,345,721 and 66,484,195

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Solution

The third proportional to 31,345,721 and 66,484,195 is: 141,012,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,345,721 : 66,484,195 = 66,484,195 : x
  2. Step 2: Convert to fraction form
    31,345,721/66,484,195 = 66,484,195/x
  3. Step 3: Cross multiply
    31,345,721x = 66,484,195 × 66,484,195
  4. Step 4: Simplify right side
    31,345,721x = 4,420,148,184,798,025
  5. Step 5: Solve for x
    x = 4,420,148,184,798,025/31,345,721
  6. Step 6: Final answer
    x = 141,012,809.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.