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Finding the Third Proportional to 56,775,729 and 85,068,801

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Solution

The third proportional to 56,775,729 and 85,068,801 is: 127,461,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,775,729 : 85,068,801 = 85,068,801 : x
  2. Step 2: Convert to fraction form
    56,775,729/85,068,801 = 85,068,801/x
  3. Step 3: Cross multiply
    56,775,729x = 85,068,801 × 85,068,801
  4. Step 4: Simplify right side
    56,775,729x = 7,236,700,903,577,601
  5. Step 5: Solve for x
    x = 7,236,700,903,577,601/56,775,729
  6. Step 6: Final answer
    x = 127,461,171.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.