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Finding the Third Proportional to 5,248,350 and 8,570,097

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Solution

The third proportional to 5,248,350 and 8,570,097 is: 13,994,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248,350 : 8,570,097 = 8,570,097 : x
  2. Step 2: Convert to fraction form
    5,248,350/8,570,097 = 8,570,097/x
  3. Step 3: Cross multiply
    5,248,350x = 8,570,097 × 8,570,097
  4. Step 4: Simplify right side
    5,248,350x = 73,446,562,589,409
  5. Step 5: Solve for x
    x = 73,446,562,589,409/5,248,350
  6. Step 6: Final answer
    x = 13,994,219.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.