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Finding the Third Proportional to 10,012,574 and 21,534,172

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Solution

The third proportional to 10,012,574 and 21,534,172 is: 46,313,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012,574 : 21,534,172 = 21,534,172 : x
  2. Step 2: Convert to fraction form
    10,012,574/21,534,172 = 21,534,172/x
  3. Step 3: Cross multiply
    10,012,574x = 21,534,172 × 21,534,172
  4. Step 4: Simplify right side
    10,012,574x = 463,720,563,725,584
  5. Step 5: Solve for x
    x = 463,720,563,725,584/10,012,574
  6. Step 6: Final answer
    x = 46,313,821.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.