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Finding the Third Proportional to 3,039,420.38 and 6,583,217.63

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Solution

The third proportional to 3,039,420.38 and 6,583,217.63 is: 14,258,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039,420.38 : 6,583,217.63 = 6,583,217.63 : x
  2. Step 2: Convert to fraction form
    3,039,420.38/6,583,217.63 = 6,583,217.63/x
  3. Step 3: Cross multiply
    3,039,420.38x = 6,583,217.63 × 6,583,217.63
  4. Step 4: Simplify right side
    3,039,420.38x = 43,338,754,298,110.64
  5. Step 5: Solve for x
    x = 43,338,754,298,110.64/3,039,420.38
  6. Step 6: Final answer
    x = 14,258,887.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.