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Finding the Third Proportional to 8,732,731,452 and 14,258,256,993

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Solution

The third proportional to 8,732,731,452 and 14,258,256,993 is: 23,279,989,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732,731,452 : 14,258,256,993 = 14,258,256,993 : x
  2. Step 2: Convert to fraction form
    8,732,731,452/14,258,256,993 = 14,258,256,993/x
  3. Step 3: Cross multiply
    8,732,731,452x = 14,258,256,993 × 14,258,256,993
  4. Step 4: Simplify right side
    8,732,731,452x = 203,297,892,478,433,394,688
  5. Step 5: Solve for x
    x = 203,297,892,478,433,394,688/8,732,731,452
  6. Step 6: Final answer
    x = 23,279,989,038.47

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.