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Finding the Third Proportional to 21,699,013 and 46,418,071

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Solution

The third proportional to 21,699,013 and 46,418,071 is: 99,296,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,699,013 : 46,418,071 = 46,418,071 : x
  2. Step 2: Convert to fraction form
    21,699,013/46,418,071 = 46,418,071/x
  3. Step 3: Cross multiply
    21,699,013x = 46,418,071 × 46,418,071
  4. Step 4: Simplify right side
    21,699,013x = 2,154,637,315,361,041
  5. Step 5: Solve for x
    x = 2,154,637,315,361,041/21,699,013
  6. Step 6: Final answer
    x = 99,296,558.57

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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.