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Finding the Third Proportional to 14,463,835 and 30,889,263

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Solution

The third proportional to 14,463,835 and 30,889,263 is: 65,967,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463,835 : 30,889,263 = 30,889,263 : x
  2. Step 2: Convert to fraction form
    14,463,835/30,889,263 = 30,889,263/x
  3. Step 3: Cross multiply
    14,463,835x = 30,889,263 × 30,889,263
  4. Step 4: Simplify right side
    14,463,835x = 954,146,568,683,169
  5. Step 5: Solve for x
    x = 954,146,568,683,169/14,463,835
  6. Step 6: Final answer
    x = 65,967,744.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.