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Finding the Third Proportional to 31,430,596 and 46,952,324

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Solution

The third proportional to 31,430,596 and 46,952,324 is: 70,139,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430,596 : 46,952,324 = 46,952,324 : x
  2. Step 2: Convert to fraction form
    31,430,596/46,952,324 = 46,952,324/x
  3. Step 3: Cross multiply
    31,430,596x = 46,952,324 × 46,952,324
  4. Step 4: Simplify right side
    31,430,596x = 2,204,520,729,000,976
  5. Step 5: Solve for x
    x = 2,204,520,729,000,976/31,430,596
  6. Step 6: Final answer
    x = 70,139,323.13

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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.