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Finding the Third Proportional to 5,671,575 and 8,717,611.50

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Solution

The third proportional to 5,671,575 and 8,717,611.50 is: 13,399,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671,575 : 8,717,611.50 = 8,717,611.50 : x
  2. Step 2: Convert to fraction form
    5,671,575/8,717,611.50 = 8,717,611.50/x
  3. Step 3: Cross multiply
    5,671,575x = 8,717,611.50 × 8,717,611.50
  4. Step 4: Simplify right side
    5,671,575x = 75,996,750,264,932.25
  5. Step 5: Solve for x
    x = 75,996,750,264,932.25/5,671,575
  6. Step 6: Final answer
    x = 13,399,584.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.