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Finding the Third Proportional to 6,098,760 and 8,130,582

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Solution

The third proportional to 6,098,760 and 8,130,582 is: 10,839,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098,760 : 8,130,582 = 8,130,582 : x
  2. Step 2: Convert to fraction form
    6,098,760/8,130,582 = 8,130,582/x
  3. Step 3: Cross multiply
    6,098,760x = 8,130,582 × 8,130,582
  4. Step 4: Simplify right side
    6,098,760x = 66,106,363,658,724
  5. Step 5: Solve for x
    x = 66,106,363,658,724/6,098,760
  6. Step 6: Final answer
    x = 10,839,312.20

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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.