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Finding the Third Proportional to 14,595,024,064 and 31,865,321,938

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Solution

The third proportional to 14,595,024,064 and 31,865,321,938 is: 69,571,570,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595,024,064 : 31,865,321,938 = 31,865,321,938 : x
  2. Step 2: Convert to fraction form
    14,595,024,064/31,865,321,938 = 31,865,321,938/x
  3. Step 3: Cross multiply
    14,595,024,064x = 31,865,321,938 × 31,865,321,938
  4. Step 4: Simplify right side
    14,595,024,064x = 1,015,398,742,212,384,129,024
  5. Step 5: Solve for x
    x = 1,015,398,742,212,384,129,024/14,595,024,064
  6. Step 6: Final answer
    x = 69,571,570,266.67

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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.