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Finding the Third Proportional to 31,260,171 and 67,574,742

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Solution

The third proportional to 31,260,171 and 67,574,742 is: 146,075,520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,260,171 : 67,574,742 = 67,574,742 : x
  2. Step 2: Convert to fraction form
    31,260,171/67,574,742 = 67,574,742/x
  3. Step 3: Cross multiply
    31,260,171x = 67,574,742 × 67,574,742
  4. Step 4: Simplify right side
    31,260,171x = 4,566,345,756,366,564
  5. Step 5: Solve for x
    x = 4,566,345,756,366,564/31,260,171
  6. Step 6: Final answer
    x = 146,075,520.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.