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Finding the Third Proportional to 12,121,421,440 and 26,047,380,328

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Solution

The third proportional to 12,121,421,440 and 26,047,380,328 is: 55,972,480,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121,421,440 : 26,047,380,328 = 26,047,380,328 : x
  2. Step 2: Convert to fraction form
    12,121,421,440/26,047,380,328 = 26,047,380,328/x
  3. Step 3: Cross multiply
    12,121,421,440x = 26,047,380,328 × 26,047,380,328
  4. Step 4: Simplify right side
    12,121,421,440x = 678,466,021,951,481,446,400
  5. Step 5: Solve for x
    x = 678,466,021,951,481,446,400/12,121,421,440
  6. Step 6: Final answer
    x = 55,972,480,233.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.