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Finding the Third Proportional to 31,430,585.25 and 46,952,304.75

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Solution

The third proportional to 31,430,585.25 and 46,952,304.75 is: 70,139,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430,585.25 : 46,952,304.75 = 46,952,304.75 : x
  2. Step 2: Convert to fraction form
    31,430,585.25/46,952,304.75 = 46,952,304.75/x
  3. Step 3: Cross multiply
    31,430,585.25x = 46,952,304.75 × 46,952,304.75
  4. Step 4: Simplify right side
    31,430,585.25x = 2,204,518,921,336,872.50
  5. Step 5: Solve for x
    x = 2,204,518,921,336,872.50/31,430,585.25
  6. Step 6: Final answer
    x = 70,139,289.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.