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Finding the Third Proportional to 7,669,820 and 16,782,784.50

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Solution

The third proportional to 7,669,820 and 16,782,784.50 is: 36,723,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,820 : 16,782,784.50 = 16,782,784.50 : x
  2. Step 2: Convert to fraction form
    7,669,820/16,782,784.50 = 16,782,784.50/x
  3. Step 3: Cross multiply
    7,669,820x = 16,782,784.50 × 16,782,784.50
  4. Step 4: Simplify right side
    7,669,820x = 281,661,855,573,440.25
  5. Step 5: Solve for x
    x = 281,661,855,573,440.25/7,669,820
  6. Step 6: Final answer
    x = 36,723,398.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.