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Finding the Third Proportional to 35,297,575,365 and 75,630,813,296

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Solution

The third proportional to 35,297,575,365 and 75,630,813,296 is: 162,051,355,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,297,575,365 : 75,630,813,296 = 75,630,813,296 : x
  2. Step 2: Convert to fraction form
    35,297,575,365/75,630,813,296 = 75,630,813,296/x
  3. Step 3: Cross multiply
    35,297,575,365x = 75,630,813,296 × 75,630,813,296
  4. Step 4: Simplify right side
    35,297,575,365x = 5,720,019,919,814,410,633,216
  5. Step 5: Solve for x
    x = 5,720,019,919,814,410,633,216/35,297,575,365
  6. Step 6: Final answer
    x = 162,051,355,104.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.