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Finding the Third Proportional to 31,405,026 and 47,264,788

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Solution

The third proportional to 31,405,026 and 47,264,788 is: 71,133,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405,026 : 47,264,788 = 47,264,788 : x
  2. Step 2: Convert to fraction form
    31,405,026/47,264,788 = 47,264,788/x
  3. Step 3: Cross multiply
    31,405,026x = 47,264,788 × 47,264,788
  4. Step 4: Simplify right side
    31,405,026x = 2,233,960,184,684,944
  5. Step 5: Solve for x
    x = 2,233,960,184,684,944/31,405,026
  6. Step 6: Final answer
    x = 71,133,842.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.