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Finding the Third Proportional to 21,876,699 and 47,689,746

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Solution

The third proportional to 21,876,699 and 47,689,746 is: 103,960,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876,699 : 47,689,746 = 47,689,746 : x
  2. Step 2: Convert to fraction form
    21,876,699/47,689,746 = 47,689,746/x
  3. Step 3: Cross multiply
    21,876,699x = 47,689,746 × 47,689,746
  4. Step 4: Simplify right side
    21,876,699x = 2,274,311,873,544,516
  5. Step 5: Solve for x
    x = 2,274,311,873,544,516/21,876,699
  6. Step 6: Final answer
    x = 103,960,468.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.