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Finding the Third Proportional to 13,823,010 and 29,946,163

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Solution

The third proportional to 13,823,010 and 29,946,163 is: 64,875,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823,010 : 29,946,163 = 29,946,163 : x
  2. Step 2: Convert to fraction form
    13,823,010/29,946,163 = 29,946,163/x
  3. Step 3: Cross multiply
    13,823,010x = 29,946,163 × 29,946,163
  4. Step 4: Simplify right side
    13,823,010x = 896,772,678,422,569
  5. Step 5: Solve for x
    x = 896,772,678,422,569/13,823,010
  6. Step 6: Final answer
    x = 64,875,354.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.