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Finding the Third Proportional to 4,307,503,248 and 9,369,725,640

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Solution

The third proportional to 4,307,503,248 and 9,369,725,640 is: 20,381,124,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307,503,248 : 9,369,725,640 = 9,369,725,640 : x
  2. Step 2: Convert to fraction form
    4,307,503,248/9,369,725,640 = 9,369,725,640/x
  3. Step 3: Cross multiply
    4,307,503,248x = 9,369,725,640 × 9,369,725,640
  4. Step 4: Simplify right side
    4,307,503,248x = 87,791,758,568,873,410,560
  5. Step 5: Solve for x
    x = 87,791,758,568,873,410,560/4,307,503,248
  6. Step 6: Final answer
    x = 20,381,124,172.02

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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.