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Finding the Third Proportional to 10,903,086 and 17,106,102

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Solution

The third proportional to 10,903,086 and 17,106,102 is: 26,838,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903,086 : 17,106,102 = 17,106,102 : x
  2. Step 2: Convert to fraction form
    10,903,086/17,106,102 = 17,106,102/x
  3. Step 3: Cross multiply
    10,903,086x = 17,106,102 × 17,106,102
  4. Step 4: Simplify right side
    10,903,086x = 292,618,725,634,404
  5. Step 5: Solve for x
    x = 292,618,725,634,404/10,903,086
  6. Step 6: Final answer
    x = 26,838,156.25

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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.