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Finding the Third Proportional to 18,065,773,224 and 39,133,518,880

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Solution

The third proportional to 18,065,773,224 and 39,133,518,880 is: 84,769,817,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,065,773,224 : 39,133,518,880 = 39,133,518,880 : x
  2. Step 2: Convert to fraction form
    18,065,773,224/39,133,518,880 = 39,133,518,880/x
  3. Step 3: Cross multiply
    18,065,773,224x = 39,133,518,880 × 39,133,518,880
  4. Step 4: Simplify right side
    18,065,773,224x = 1,531,432,299,931,316,518,912
  5. Step 5: Solve for x
    x = 1,531,432,299,931,316,518,912/18,065,773,224
  6. Step 6: Final answer
    x = 84,769,817,540.76

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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.