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Finding the Third Proportional to 57,544,506 and 123,276,432

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Solution

The third proportional to 57,544,506 and 123,276,432 is: 264,092,608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,544,506 : 123,276,432 = 123,276,432 : x
  2. Step 2: Convert to fraction form
    57,544,506/123,276,432 = 123,276,432/x
  3. Step 3: Cross multiply
    57,544,506x = 123,276,432 × 123,276,432
  4. Step 4: Simplify right side
    57,544,506x = 15,197,078,686,650,624
  5. Step 5: Solve for x
    x = 15,197,078,686,650,624/57,544,506
  6. Step 6: Final answer
    x = 264,092,608.37

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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.