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Finding the Third Proportional to 3,035,536 and 6,464,342

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Solution

The third proportional to 3,035,536 and 6,464,342 is: 13,766,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035,536 : 6,464,342 = 6,464,342 : x
  2. Step 2: Convert to fraction form
    3,035,536/6,464,342 = 6,464,342/x
  3. Step 3: Cross multiply
    3,035,536x = 6,464,342 × 6,464,342
  4. Step 4: Simplify right side
    3,035,536x = 41,787,717,492,964
  5. Step 5: Solve for x
    x = 41,787,717,492,964/3,035,536
  6. Step 6: Final answer
    x = 13,766,174.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.