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Finding the Third Proportional to 6,098,698 and 8,130,495

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Solution

The third proportional to 6,098,698 and 8,130,495 is: 10,839,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098,698 : 8,130,495 = 8,130,495 : x
  2. Step 2: Convert to fraction form
    6,098,698/8,130,495 = 8,130,495/x
  3. Step 3: Cross multiply
    6,098,698x = 8,130,495 × 8,130,495
  4. Step 4: Simplify right side
    6,098,698x = 66,104,948,945,025
  5. Step 5: Solve for x
    x = 66,104,948,945,025/6,098,698
  6. Step 6: Final answer
    x = 10,839,190.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.