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Finding the Third Proportional to 6,823,132.45 and 14,842,007.16

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Solution

The third proportional to 6,823,132.45 and 14,842,007.16 is: 32,285,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823,132.45 : 14,842,007.16 = 14,842,007.16 : x
  2. Step 2: Convert to fraction form
    6,823,132.45/14,842,007.16 = 14,842,007.16/x
  3. Step 3: Cross multiply
    6,823,132.45x = 14,842,007.16 × 14,842,007.16
  4. Step 4: Simplify right side
    6,823,132.45x = 220,285,176,426,176.22
  5. Step 5: Solve for x
    x = 220,285,176,426,176.22/6,823,132.45
  6. Step 6: Final answer
    x = 32,285,050.59

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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.