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Finding the Third Proportional to 6,298,284 and 9,445,785

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Solution

The third proportional to 6,298,284 and 9,445,785 is: 14,166,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298,284 : 9,445,785 = 9,445,785 : x
  2. Step 2: Convert to fraction form
    6,298,284/9,445,785 = 9,445,785/x
  3. Step 3: Cross multiply
    6,298,284x = 9,445,785 × 9,445,785
  4. Step 4: Simplify right side
    6,298,284x = 89,222,854,266,225
  5. Step 5: Solve for x
    x = 89,222,854,266,225/6,298,284
  6. Step 6: Final answer
    x = 14,166,216.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.