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Finding the Third Proportional to 10,239,553 and 21,936,457

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Solution

The third proportional to 10,239,553 and 21,936,457 is: 46,995,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239,553 : 21,936,457 = 21,936,457 : x
  2. Step 2: Convert to fraction form
    10,239,553/21,936,457 = 21,936,457/x
  3. Step 3: Cross multiply
    10,239,553x = 21,936,457 × 21,936,457
  4. Step 4: Simplify right side
    10,239,553x = 481,208,145,712,849
  5. Step 5: Solve for x
    x = 481,208,145,712,849/10,239,553
  6. Step 6: Final answer
    x = 46,995,034.42

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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.