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Finding the Third Proportional to 5,034,549 and 7,457,406

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Solution

The third proportional to 5,034,549 and 7,457,406 is: 11,046,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034,549 : 7,457,406 = 7,457,406 : x
  2. Step 2: Convert to fraction form
    5,034,549/7,457,406 = 7,457,406/x
  3. Step 3: Cross multiply
    5,034,549x = 7,457,406 × 7,457,406
  4. Step 4: Simplify right side
    5,034,549x = 55,612,904,248,836
  5. Step 5: Solve for x
    x = 55,612,904,248,836/5,034,549
  6. Step 6: Final answer
    x = 11,046,253.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.