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Finding the Third Proportional to 6,444,733.50 and 14,039,829

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Solution

The third proportional to 6,444,733.50 and 14,039,829 is: 30,585,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444,733.50 : 14,039,829 = 14,039,829 : x
  2. Step 2: Convert to fraction form
    6,444,733.50/14,039,829 = 14,039,829/x
  3. Step 3: Cross multiply
    6,444,733.50x = 14,039,829 × 14,039,829
  4. Step 4: Simplify right side
    6,444,733.50x = 197,116,798,349,241
  5. Step 5: Solve for x
    x = 197,116,798,349,241/6,444,733.50
  6. Step 6: Final answer
    x = 30,585,717.52

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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.