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Finding the Third Proportional to 23,908,114,466 and 52,320,014,260

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Solution

The third proportional to 23,908,114,466 and 52,320,014,260 is: 114,496,017,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,908,114,466 : 52,320,014,260 = 52,320,014,260 : x
  2. Step 2: Convert to fraction form
    23,908,114,466/52,320,014,260 = 52,320,014,260/x
  3. Step 3: Cross multiply
    23,908,114,466x = 52,320,014,260 × 52,320,014,260
  4. Step 4: Simplify right side
    23,908,114,466x = 2,737,383,892,166,603,440,128
  5. Step 5: Solve for x
    x = 2,737,383,892,166,603,440,128/23,908,114,466
  6. Step 6: Final answer
    x = 114,496,017,494.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.