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Finding the Third Proportional to 14,633,118,369 and 23,284,167,993

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Solution

The third proportional to 14,633,118,369 and 23,284,167,993 is: 37,049,688,621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633,118,369 : 23,284,167,993 = 23,284,167,993 : x
  2. Step 2: Convert to fraction form
    14,633,118,369/23,284,167,993 = 23,284,167,993/x
  3. Step 3: Cross multiply
    14,633,118,369x = 23,284,167,993 × 23,284,167,993
  4. Step 4: Simplify right side
    14,633,118,369x = 542,152,479,126,245,670,912
  5. Step 5: Solve for x
    x = 542,152,479,126,245,670,912/14,633,118,369
  6. Step 6: Final answer
    x = 37,049,688,621.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.