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Finding the Third Proportional to 30,624,621 and 66,812,823

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Solution

The third proportional to 30,624,621 and 66,812,823 is: 145,763,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,624,621 : 66,812,823 = 66,812,823 : x
  2. Step 2: Convert to fraction form
    30,624,621/66,812,823 = 66,812,823/x
  3. Step 3: Cross multiply
    30,624,621x = 66,812,823 × 66,812,823
  4. Step 4: Simplify right side
    30,624,621x = 4,463,953,317,229,329
  5. Step 5: Solve for x
    x = 4,463,953,317,229,329/30,624,621
  6. Step 6: Final answer
    x = 145,763,544.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.