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Finding the Third Proportional to 7,860,749 and 17,187,841

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Solution

The third proportional to 7,860,749 and 17,187,841 is: 37,581,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860,749 : 17,187,841 = 17,187,841 : x
  2. Step 2: Convert to fraction form
    7,860,749/17,187,841 = 17,187,841/x
  3. Step 3: Cross multiply
    7,860,749x = 17,187,841 × 17,187,841
  4. Step 4: Simplify right side
    7,860,749x = 295,421,878,241,281
  5. Step 5: Solve for x
    x = 295,421,878,241,281/7,860,749
  6. Step 6: Final answer
    x = 37,581,899.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.