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Finding the Third Proportional to 30,854,925 and 65,810,475

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Solution

The third proportional to 30,854,925 and 65,810,475 is: 140,367,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854,925 : 65,810,475 = 65,810,475 : x
  2. Step 2: Convert to fraction form
    30,854,925/65,810,475 = 65,810,475/x
  3. Step 3: Cross multiply
    30,854,925x = 65,810,475 × 65,810,475
  4. Step 4: Simplify right side
    30,854,925x = 4,331,018,619,725,625
  5. Step 5: Solve for x
    x = 4,331,018,619,725,625/30,854,925
  6. Step 6: Final answer
    x = 140,367,173.79

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.