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Finding the Third Proportional to 6,499,720 and 14,084,200

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Solution

The third proportional to 6,499,720 and 14,084,200 is: 30,518,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499,720 : 14,084,200 = 14,084,200 : x
  2. Step 2: Convert to fraction form
    6,499,720/14,084,200 = 14,084,200/x
  3. Step 3: Cross multiply
    6,499,720x = 14,084,200 × 14,084,200
  4. Step 4: Simplify right side
    6,499,720x = 198,364,689,640,000
  5. Step 5: Solve for x
    x = 198,364,689,640,000/6,499,720
  6. Step 6: Final answer
    x = 30,518,959.22

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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.