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Finding the Third Proportional to 10,014,744 and 21,625,944

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Solution

The third proportional to 10,014,744 and 21,625,944 is: 46,699,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014,744 : 21,625,944 = 21,625,944 : x
  2. Step 2: Convert to fraction form
    10,014,744/21,625,944 = 21,625,944/x
  3. Step 3: Cross multiply
    10,014,744x = 21,625,944 × 21,625,944
  4. Step 4: Simplify right side
    10,014,744x = 467,681,453,891,136
  5. Step 5: Solve for x
    x = 467,681,453,891,136/10,014,744
  6. Step 6: Final answer
    x = 46,699,291.95

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Why These Related Problems?

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