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Finding the Third Proportional to 74,094,118,049 and 99,970,361,296

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Solution

The third proportional to 74,094,118,049 and 99,970,361,296 is: 134,883,488,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,094,118,049 : 99,970,361,296 = 99,970,361,296 : x
  2. Step 2: Convert to fraction form
    74,094,118,049/99,970,361,296 = 99,970,361,296/x
  3. Step 3: Cross multiply
    74,094,118,049x = 99,970,361,296 × 99,970,361,296
  4. Step 4: Simplify right side
    74,094,118,049x = 9,994,073,137,652,774,731,776
  5. Step 5: Solve for x
    x = 9,994,073,137,652,774,731,776/74,094,118,049
  6. Step 6: Final answer
    x = 134,883,488,741.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.