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Finding the Third Proportional to 6,649,569 and 14,362,020

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Solution

The third proportional to 6,649,569 and 14,362,020 is: 31,019,697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,569 : 14,362,020 = 14,362,020 : x
  2. Step 2: Convert to fraction form
    6,649,569/14,362,020 = 14,362,020/x
  3. Step 3: Cross multiply
    6,649,569x = 14,362,020 × 14,362,020
  4. Step 4: Simplify right side
    6,649,569x = 206,267,618,480,400
  5. Step 5: Solve for x
    x = 206,267,618,480,400/6,649,569
  6. Step 6: Final answer
    x = 31,019,697.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.