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Finding the Third Proportional to 7,860,645 and 17,105,251.50

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Solution

The third proportional to 7,860,645 and 17,105,251.50 is: 37,222,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860,645 : 17,105,251.50 = 17,105,251.50 : x
  2. Step 2: Convert to fraction form
    7,860,645/17,105,251.50 = 17,105,251.50/x
  3. Step 3: Cross multiply
    7,860,645x = 17,105,251.50 × 17,105,251.50
  4. Step 4: Simplify right side
    7,860,645x = 292,589,628,878,252.25
  5. Step 5: Solve for x
    x = 292,589,628,878,252.25/7,860,645
  6. Step 6: Final answer
    x = 37,222,089.14

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Why These Related Problems?

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