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Finding the Third Proportional to 31,921,102 and 49,528,410

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Solution

The third proportional to 31,921,102 and 49,528,410 is: 76,847,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,921,102 : 49,528,410 = 49,528,410 : x
  2. Step 2: Convert to fraction form
    31,921,102/49,528,410 = 49,528,410/x
  3. Step 3: Cross multiply
    31,921,102x = 49,528,410 × 49,528,410
  4. Step 4: Simplify right side
    31,921,102x = 2,453,063,397,128,100
  5. Step 5: Solve for x
    x = 2,453,063,397,128,100/31,921,102
  6. Step 6: Final answer
    x = 76,847,703.98

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