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Finding the Third Proportional to 6,423,840 and 9,458,284.50

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Solution

The third proportional to 6,423,840 and 9,458,284.50 is: 13,926,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,840 : 9,458,284.50 = 9,458,284.50 : x
  2. Step 2: Convert to fraction form
    6,423,840/9,458,284.50 = 9,458,284.50/x
  3. Step 3: Cross multiply
    6,423,840x = 9,458,284.50 × 9,458,284.50
  4. Step 4: Simplify right side
    6,423,840x = 89,459,145,682,940.25
  5. Step 5: Solve for x
    x = 89,459,145,682,940.25/6,423,840
  6. Step 6: Final answer
    x = 13,926,116.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.