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Finding the Third Proportional to 6,863,005.50 and 14,294,448

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Solution

The third proportional to 6,863,005.50 and 14,294,448 is: 29,772,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,005.50 : 14,294,448 = 14,294,448 : x
  2. Step 2: Convert to fraction form
    6,863,005.50/14,294,448 = 14,294,448/x
  3. Step 3: Cross multiply
    6,863,005.50x = 14,294,448 × 14,294,448
  4. Step 4: Simplify right side
    6,863,005.50x = 204,331,243,624,704
  5. Step 5: Solve for x
    x = 204,331,243,624,704/6,863,005.50
  6. Step 6: Final answer
    x = 29,772,851.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.