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Finding the Third Proportional to 31,921,026 and 49,528,269

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Solution

The third proportional to 31,921,026 and 49,528,269 is: 76,847,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,921,026 : 49,528,269 = 49,528,269 : x
  2. Step 2: Convert to fraction form
    31,921,026/49,528,269 = 49,528,269/x
  3. Step 3: Cross multiply
    31,921,026x = 49,528,269 × 49,528,269
  4. Step 4: Simplify right side
    31,921,026x = 2,453,049,430,136,361
  5. Step 5: Solve for x
    x = 2,453,049,430,136,361/31,921,026
  6. Step 6: Final answer
    x = 76,847,449.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.