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Finding the Third Proportional to 57,453,473 and 122,869,570

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Solution

The third proportional to 57,453,473 and 122,869,570 is: 262,767,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,453,473 : 122,869,570 = 122,869,570 : x
  2. Step 2: Convert to fraction form
    57,453,473/122,869,570 = 122,869,570/x
  3. Step 3: Cross multiply
    57,453,473x = 122,869,570 × 122,869,570
  4. Step 4: Simplify right side
    57,453,473x = 15,096,931,231,984,900
  5. Step 5: Solve for x
    x = 15,096,931,231,984,900/57,453,473
  6. Step 6: Final answer
    x = 262,767,948.46

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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.