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Finding the Third Proportional to 21,488,970 and 46,381,012

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Solution

The third proportional to 21,488,970 and 46,381,012 is: 100,107,090.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488,970 : 46,381,012 = 46,381,012 : x
  2. Step 2: Convert to fraction form
    21,488,970/46,381,012 = 46,381,012/x
  3. Step 3: Cross multiply
    21,488,970x = 46,381,012 × 46,381,012
  4. Step 4: Simplify right side
    21,488,970x = 2,151,198,274,144,144
  5. Step 5: Solve for x
    x = 2,151,198,274,144,144/21,488,970
  6. Step 6: Final answer
    x = 100,107,090.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.