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Finding the Third Proportional to 10,223,834 and 21,884,163

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Solution

The third proportional to 10,223,834 and 21,884,163 is: 46,843,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223,834 : 21,884,163 = 21,884,163 : x
  2. Step 2: Convert to fraction form
    10,223,834/21,884,163 = 21,884,163/x
  3. Step 3: Cross multiply
    10,223,834x = 21,884,163 × 21,884,163
  4. Step 4: Simplify right side
    10,223,834x = 478,916,590,210,569
  5. Step 5: Solve for x
    x = 478,916,590,210,569/10,223,834
  6. Step 6: Final answer
    x = 46,843,150.06

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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.