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Finding the Third Proportional to 132,578,578 and 312,524,575

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Solution

The third proportional to 132,578,578 and 312,524,575 is: 736,707,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,578,578 : 312,524,575 = 312,524,575 : x
  2. Step 2: Convert to fraction form
    132,578,578/312,524,575 = 312,524,575/x
  3. Step 3: Cross multiply
    132,578,578x = 312,524,575 × 312,524,575
  4. Step 4: Simplify right side
    132,578,578x = 97,671,609,978,930,624
  5. Step 5: Solve for x
    x = 97,671,609,978,930,624/132,578,578
  6. Step 6: Final answer
    x = 736,707,328.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.