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Finding the Third Proportional to 10,903,071 and 17,106,081

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Solution

The third proportional to 10,903,071 and 17,106,081 is: 26,838,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903,071 : 17,106,081 = 17,106,081 : x
  2. Step 2: Convert to fraction form
    10,903,071/17,106,081 = 17,106,081/x
  3. Step 3: Cross multiply
    10,903,071x = 17,106,081 × 17,106,081
  4. Step 4: Simplify right side
    10,903,071x = 292,618,007,178,561
  5. Step 5: Solve for x
    x = 292,618,007,178,561/10,903,071
  6. Step 6: Final answer
    x = 26,838,127.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.