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Finding the Third Proportional to 150,777,038 and 328,252,648

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Solution

The third proportional to 150,777,038 and 328,252,648 is: 714,630,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,777,038 : 328,252,648 = 328,252,648 : x
  2. Step 2: Convert to fraction form
    150,777,038/328,252,648 = 328,252,648/x
  3. Step 3: Cross multiply
    150,777,038x = 328,252,648 × 328,252,648
  4. Step 4: Simplify right side
    150,777,038x = 107,749,800,919,011,904
  5. Step 5: Solve for x
    x = 107,749,800,919,011,904/150,777,038
  6. Step 6: Final answer
    x = 714,630,041.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.