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Finding the Third Proportional to 31,430,598 and 46,952,327

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Solution

The third proportional to 31,430,598 and 46,952,327 is: 70,139,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430,598 : 46,952,327 = 46,952,327 : x
  2. Step 2: Convert to fraction form
    31,430,598/46,952,327 = 46,952,327/x
  3. Step 3: Cross multiply
    31,430,598x = 46,952,327 × 46,952,327
  4. Step 4: Simplify right side
    31,430,598x = 2,204,521,010,714,929
  5. Step 5: Solve for x
    x = 2,204,521,010,714,929/31,430,598
  6. Step 6: Final answer
    x = 70,139,327.63

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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.