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Finding the Third Proportional to 57,453,408 and 122,869,440

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Solution

The third proportional to 57,453,408 and 122,869,440 is: 262,767,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,453,408 : 122,869,440 = 122,869,440 : x
  2. Step 2: Convert to fraction form
    57,453,408/122,869,440 = 122,869,440/x
  3. Step 3: Cross multiply
    57,453,408x = 122,869,440 × 122,869,440
  4. Step 4: Simplify right side
    57,453,408x = 15,096,899,285,913,600
  5. Step 5: Solve for x
    x = 15,096,899,285,913,600/57,453,408
  6. Step 6: Final answer
    x = 262,767,689.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.