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Finding the Third Proportional to 31,498,690 and 49,347,547

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Solution

The third proportional to 31,498,690 and 49,347,547 is: 77,310,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498,690 : 49,347,547 = 49,347,547 : x
  2. Step 2: Convert to fraction form
    31,498,690/49,347,547 = 49,347,547/x
  3. Step 3: Cross multiply
    31,498,690x = 49,347,547 × 49,347,547
  4. Step 4: Simplify right side
    31,498,690x = 2,435,180,394,917,209
  5. Step 5: Solve for x
    x = 2,435,180,394,917,209/31,498,690
  6. Step 6: Final answer
    x = 77,310,529.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.