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Finding the Third Proportional to 31,216,930 and 46,908,595

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Solution

The third proportional to 31,216,930 and 46,908,595 is: 70,487,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216,930 : 46,908,595 = 46,908,595 : x
  2. Step 2: Convert to fraction form
    31,216,930/46,908,595 = 46,908,595/x
  3. Step 3: Cross multiply
    31,216,930x = 46,908,595 × 46,908,595
  4. Step 4: Simplify right side
    31,216,930x = 2,200,416,284,874,025
  5. Step 5: Solve for x
    x = 2,200,416,284,874,025/31,216,930
  6. Step 6: Final answer
    x = 70,487,914.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.