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Finding the Third Proportional to 20,598,810 and 31,163,329

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Solution

The third proportional to 20,598,810 and 31,163,329 is: 47,146,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598,810 : 31,163,329 = 31,163,329 : x
  2. Step 2: Convert to fraction form
    20,598,810/31,163,329 = 31,163,329/x
  3. Step 3: Cross multiply
    20,598,810x = 31,163,329 × 31,163,329
  4. Step 4: Simplify right side
    20,598,810x = 971,153,074,362,241
  5. Step 5: Solve for x
    x = 971,153,074,362,241/20,598,810
  6. Step 6: Final answer
    x = 47,146,076.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.