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Finding the Third Proportional to 10,149,628 and 21,883,678

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Solution

The third proportional to 10,149,628 and 21,883,678 is: 47,183,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,628 : 21,883,678 = 21,883,678 : x
  2. Step 2: Convert to fraction form
    10,149,628/21,883,678 = 21,883,678/x
  3. Step 3: Cross multiply
    10,149,628x = 21,883,678 × 21,883,678
  4. Step 4: Simplify right side
    10,149,628x = 478,895,362,807,684
  5. Step 5: Solve for x
    x = 478,895,362,807,684/10,149,628
  6. Step 6: Final answer
    x = 47,183,538.43

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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.