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Finding the Third Proportional to 34,883,357,508 and 76,520,208,153

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Solution

The third proportional to 34,883,357,508 and 76,520,208,153 is: 167,854,893,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,883,357,508 : 76,520,208,153 = 76,520,208,153 : x
  2. Step 2: Convert to fraction form
    34,883,357,508/76,520,208,153 = 76,520,208,153/x
  3. Step 3: Cross multiply
    34,883,357,508x = 76,520,208,153 × 76,520,208,153
  4. Step 4: Simplify right side
    34,883,357,508x = 5,855,342,255,778,447,753,216
  5. Step 5: Solve for x
    x = 5,855,342,255,778,447,753,216/34,883,357,508
  6. Step 6: Final answer
    x = 167,854,893,395.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.