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Finding the Third Proportional to 6,098,716 and 8,130,516

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Solution

The third proportional to 6,098,716 and 8,130,516 is: 10,839,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098,716 : 8,130,516 = 8,130,516 : x
  2. Step 2: Convert to fraction form
    6,098,716/8,130,516 = 8,130,516/x
  3. Step 3: Cross multiply
    6,098,716x = 8,130,516 × 8,130,516
  4. Step 4: Simplify right side
    6,098,716x = 66,105,290,426,256
  5. Step 5: Solve for x
    x = 66,105,290,426,256/6,098,716
  6. Step 6: Final answer
    x = 10,839,214.42

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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.