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Finding the Third Proportional to 10,843,146 and 15,902,487

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Solution

The third proportional to 10,843,146 and 15,902,487 is: 23,322,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843,146 : 15,902,487 = 15,902,487 : x
  2. Step 2: Convert to fraction form
    10,843,146/15,902,487 = 15,902,487/x
  3. Step 3: Cross multiply
    10,843,146x = 15,902,487 × 15,902,487
  4. Step 4: Simplify right side
    10,843,146x = 252,889,092,785,169
  5. Step 5: Solve for x
    x = 252,889,092,785,169/10,843,146
  6. Step 6: Final answer
    x = 23,322,483.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.