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Finding the Third Proportional to 6,569,796 and 14,047,530

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Solution

The third proportional to 6,569,796 and 14,047,530 is: 30,036,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569,796 : 14,047,530 = 14,047,530 : x
  2. Step 2: Convert to fraction form
    6,569,796/14,047,530 = 14,047,530/x
  3. Step 3: Cross multiply
    6,569,796x = 14,047,530 × 14,047,530
  4. Step 4: Simplify right side
    6,569,796x = 197,333,099,100,900
  5. Step 5: Solve for x
    x = 197,333,099,100,900/6,569,796
  6. Step 6: Final answer
    x = 30,036,411.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.