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Finding the Third Proportional to 21,699,009 and 46,418,062.50

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Solution

The third proportional to 21,699,009 and 46,418,062.50 is: 99,296,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,699,009 : 46,418,062.50 = 46,418,062.50 : x
  2. Step 2: Convert to fraction form
    21,699,009/46,418,062.50 = 46,418,062.50/x
  3. Step 3: Cross multiply
    21,699,009x = 46,418,062.50 × 46,418,062.50
  4. Step 4: Simplify right side
    21,699,009x = 2,154,636,526,253,906.25
  5. Step 5: Solve for x
    x = 2,154,636,526,253,906.25/21,699,009
  6. Step 6: Final answer
    x = 99,296,540.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.