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Finding the Third Proportional to 3,035,541 and 6,464,349.75

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Solution

The third proportional to 3,035,541 and 6,464,349.75 is: 13,766,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035,541 : 6,464,349.75 = 6,464,349.75 : x
  2. Step 2: Convert to fraction form
    3,035,541/6,464,349.75 = 6,464,349.75/x
  3. Step 3: Cross multiply
    3,035,541x = 6,464,349.75 × 6,464,349.75
  4. Step 4: Simplify right side
    3,035,541x = 41,787,817,690,325.06
  5. Step 5: Solve for x
    x = 41,787,817,690,325.06/3,035,541
  6. Step 6: Final answer
    x = 13,766,184.57

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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.