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Finding the Third Proportional to 6,760,384.50 and 14,325,312

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Solution

The third proportional to 6,760,384.50 and 14,325,312 is: 30,355,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760,384.50 : 14,325,312 = 14,325,312 : x
  2. Step 2: Convert to fraction form
    6,760,384.50/14,325,312 = 14,325,312/x
  3. Step 3: Cross multiply
    6,760,384.50x = 14,325,312 × 14,325,312
  4. Step 4: Simplify right side
    6,760,384.50x = 205,214,563,897,344
  5. Step 5: Solve for x
    x = 205,214,563,897,344/6,760,384.50
  6. Step 6: Final answer
    x = 30,355,457.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.