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Finding the Third Proportional to 7,860,681 and 17,105,314.50

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Solution

The third proportional to 7,860,681 and 17,105,314.50 is: 37,222,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860,681 : 17,105,314.50 = 17,105,314.50 : x
  2. Step 2: Convert to fraction form
    7,860,681/17,105,314.50 = 17,105,314.50/x
  3. Step 3: Cross multiply
    7,860,681x = 17,105,314.50 × 17,105,314.50
  4. Step 4: Simplify right side
    7,860,681x = 292,591,784,143,910.25
  5. Step 5: Solve for x
    x = 292,591,784,143,910.25/7,860,681
  6. Step 6: Final answer
    x = 37,222,192.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.