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Finding the Third Proportional to 31,430,592 and 46,952,318.25

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Solution

The third proportional to 31,430,592 and 46,952,318.25 is: 70,139,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430,592 : 46,952,318.25 = 46,952,318.25 : x
  2. Step 2: Convert to fraction form
    31,430,592/46,952,318.25 = 46,952,318.25/x
  3. Step 3: Cross multiply
    31,430,592x = 46,952,318.25 × 46,952,318.25
  4. Step 4: Simplify right side
    31,430,592x = 2,204,520,189,049,283
  5. Step 5: Solve for x
    x = 2,204,520,189,049,283/31,430,592
  6. Step 6: Final answer
    x = 70,139,314.88

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Why These Related Problems?

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