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Finding the Third Proportional to 10,100,064 and 15,671,141

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Solution

The third proportional to 10,100,064 and 15,671,141 is: 24,315,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100,064 : 15,671,141 = 15,671,141 : x
  2. Step 2: Convert to fraction form
    10,100,064/15,671,141 = 15,671,141/x
  3. Step 3: Cross multiply
    10,100,064x = 15,671,141 × 15,671,141
  4. Step 4: Simplify right side
    10,100,064x = 245,584,660,241,881
  5. Step 5: Solve for x
    x = 245,584,660,241,881/10,100,064
  6. Step 6: Final answer
    x = 24,315,158.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.