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Finding the Third Proportional to 6,294,516.75 and 9,465,152.06

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Solution

The third proportional to 6,294,516.75 and 9,465,152.06 is: 14,232,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294,516.75 : 9,465,152.06 = 9,465,152.06 : x
  2. Step 2: Convert to fraction form
    6,294,516.75/9,465,152.06 = 9,465,152.06/x
  3. Step 3: Cross multiply
    6,294,516.75x = 9,465,152.06 × 9,465,152.06
  4. Step 4: Simplify right side
    6,294,516.75x = 89,589,103,566,248
  5. Step 5: Solve for x
    x = 89,589,103,566,248/6,294,516.75
  6. Step 6: Final answer
    x = 14,232,880.32

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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.