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Finding the Third Proportional to 6,098,697 and 8,130,492

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Solution

The third proportional to 6,098,697 and 8,130,492 is: 10,839,184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098,697 : 8,130,492 = 8,130,492 : x
  2. Step 2: Convert to fraction form
    6,098,697/8,130,492 = 8,130,492/x
  3. Step 3: Cross multiply
    6,098,697x = 8,130,492 × 8,130,492
  4. Step 4: Simplify right side
    6,098,697x = 66,104,900,162,064
  5. Step 5: Solve for x
    x = 66,104,900,162,064/6,098,697
  6. Step 6: Final answer
    x = 10,839,184.20

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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.