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Finding the Third Proportional to 4,962,311,498 and 7,682,750,319

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Solution

The third proportional to 4,962,311,498 and 7,682,750,319 is: 11,894,588,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962,311,498 : 7,682,750,319 = 7,682,750,319 : x
  2. Step 2: Convert to fraction form
    4,962,311,498/7,682,750,319 = 7,682,750,319/x
  3. Step 3: Cross multiply
    4,962,311,498x = 7,682,750,319 × 7,682,750,319
  4. Step 4: Simplify right side
    4,962,311,498x = 59,024,652,464,094,601,216
  5. Step 5: Solve for x
    x = 59,024,652,464,094,601,216/4,962,311,498
  6. Step 6: Final answer
    x = 11,894,588,336.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.