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Finding the Third Proportional to 6,004,894.50 and 9,294,567.75

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Solution

The third proportional to 6,004,894.50 and 9,294,567.75 is: 14,386,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004,894.50 : 9,294,567.75 = 9,294,567.75 : x
  2. Step 2: Convert to fraction form
    6,004,894.50/9,294,567.75 = 9,294,567.75/x
  3. Step 3: Cross multiply
    6,004,894.50x = 9,294,567.75 × 9,294,567.75
  4. Step 4: Simplify right side
    6,004,894.50x = 86,388,989,659,340.06
  5. Step 5: Solve for x
    x = 86,388,989,659,340.06/6,004,894.50
  6. Step 6: Final answer
    x = 14,386,429.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.