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Finding the Third Proportional to 6,098,748 and 8,130,564

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Solution

The third proportional to 6,098,748 and 8,130,564 is: 10,839,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098,748 : 8,130,564 = 8,130,564 : x
  2. Step 2: Convert to fraction form
    6,098,748/8,130,564 = 8,130,564/x
  3. Step 3: Cross multiply
    6,098,748x = 8,130,564 × 8,130,564
  4. Step 4: Simplify right side
    6,098,748x = 66,106,070,958,096
  5. Step 5: Solve for x
    x = 66,106,070,958,096/6,098,748
  6. Step 6: Final answer
    x = 10,839,285.53

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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.