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Finding the Third Proportional to 445,777,932 and 675,408,402

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Solution

The third proportional to 445,777,932 and 675,408,402 is: 1,023,326,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,777,932 : 675,408,402 = 675,408,402 : x
  2. Step 2: Convert to fraction form
    445,777,932/675,408,402 = 675,408,402/x
  3. Step 3: Cross multiply
    445,777,932x = 675,408,402 × 675,408,402
  4. Step 4: Simplify right side
    445,777,932x = 456,176,509,492,193,600
  5. Step 5: Solve for x
    x = 456,176,509,492,193,600/445,777,932
  6. Step 6: Final answer
    x = 1,023,326,810.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.