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Finding the Third Proportional to 6,184,841 and 12,543,670

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Solution

The third proportional to 6,184,841 and 12,543,670 is: 25,440,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184,841 : 12,543,670 = 12,543,670 : x
  2. Step 2: Convert to fraction form
    6,184,841/12,543,670 = 12,543,670/x
  3. Step 3: Cross multiply
    6,184,841x = 12,543,670 × 12,543,670
  4. Step 4: Simplify right side
    6,184,841x = 157,343,657,068,900
  5. Step 5: Solve for x
    x = 157,343,657,068,900/6,184,841
  6. Step 6: Final answer
    x = 25,440,210.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.