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Finding the Third Proportional to 6,783,898.50 and 14,763,448.13

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Solution

The third proportional to 6,783,898.50 and 14,763,448.13 is: 32,128,930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783,898.50 : 14,763,448.13 = 14,763,448.13 : x
  2. Step 2: Convert to fraction form
    6,783,898.50/14,763,448.13 = 14,763,448.13/x
  3. Step 3: Cross multiply
    6,783,898.50x = 14,763,448.13 × 14,763,448.13
  4. Step 4: Simplify right side
    6,783,898.50x = 217,959,400,539,566
  5. Step 5: Solve for x
    x = 217,959,400,539,566/6,783,898.50
  6. Step 6: Final answer
    x = 32,128,930.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.