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Finding the Third Proportional to 30,854,930.63 and 65,810,485.13

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Solution

The third proportional to 30,854,930.63 and 65,810,485.13 is: 140,367,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854,930.63 : 65,810,485.13 = 65,810,485.13 : x
  2. Step 2: Convert to fraction form
    30,854,930.63/65,810,485.13 = 65,810,485.13/x
  3. Step 3: Cross multiply
    30,854,930.63x = 65,810,485.13 × 65,810,485.13
  4. Step 4: Simplify right side
    30,854,930.63x = 4,331,019,952,387,846.50
  5. Step 5: Solve for x
    x = 4,331,019,952,387,846.50/30,854,930.63
  6. Step 6: Final answer
    x = 140,367,191.39

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Why These Related Problems?

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