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Finding the Third Proportional to 6,867,998.23 and 14,931,738.70

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Solution

The third proportional to 6,867,998.23 and 14,931,738.70 is: 32,463,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867,998.23 : 14,931,738.70 = 14,931,738.70 : x
  2. Step 2: Convert to fraction form
    6,867,998.23/14,931,738.70 = 14,931,738.70/x
  3. Step 3: Cross multiply
    6,867,998.23x = 14,931,738.70 × 14,931,738.70
  4. Step 4: Simplify right side
    6,867,998.23x = 222,956,820,698,401.06
  5. Step 5: Solve for x
    x = 222,956,820,698,401.06/6,867,998.23
  6. Step 6: Final answer
    x = 32,463,144.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.