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Finding the Third Proportional to 5,431,776 and 11,309,700

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Solution

The third proportional to 5,431,776 and 11,309,700 is: 23,548,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431,776 : 11,309,700 = 11,309,700 : x
  2. Step 2: Convert to fraction form
    5,431,776/11,309,700 = 11,309,700/x
  3. Step 3: Cross multiply
    5,431,776x = 11,309,700 × 11,309,700
  4. Step 4: Simplify right side
    5,431,776x = 127,909,314,090,000
  5. Step 5: Solve for x
    x = 127,909,314,090,000/5,431,776
  6. Step 6: Final answer
    x = 23,548,341.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.