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Finding the Third Proportional to 4,699,080 and 10,306,005

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Solution

The third proportional to 4,699,080 and 10,306,005 is: 22,603,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699,080 : 10,306,005 = 10,306,005 : x
  2. Step 2: Convert to fraction form
    4,699,080/10,306,005 = 10,306,005/x
  3. Step 3: Cross multiply
    4,699,080x = 10,306,005 × 10,306,005
  4. Step 4: Simplify right side
    4,699,080x = 106,213,739,060,025
  5. Step 5: Solve for x
    x = 106,213,739,060,025/4,699,080
  6. Step 6: Final answer
    x = 22,603,092.32

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