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Finding the Third Proportional to 6,499,656 and 14,084,064

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Solution

The third proportional to 6,499,656 and 14,084,064 is: 30,518,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499,656 : 14,084,064 = 14,084,064 : x
  2. Step 2: Convert to fraction form
    6,499,656/14,084,064 = 14,084,064/x
  3. Step 3: Cross multiply
    6,499,656x = 14,084,064 × 14,084,064
  4. Step 4: Simplify right side
    6,499,656x = 198,360,858,756,096
  5. Step 5: Solve for x
    x = 198,360,858,756,096/6,499,656
  6. Step 6: Final answer
    x = 30,518,670.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.