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Finding the Third Proportional to 30,854,937 and 65,810,499

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Solution

The third proportional to 30,854,937 and 65,810,499 is: 140,367,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854,937 : 65,810,499 = 65,810,499 : x
  2. Step 2: Convert to fraction form
    30,854,937/65,810,499 = 65,810,499/x
  3. Step 3: Cross multiply
    30,854,937x = 65,810,499 × 65,810,499
  4. Step 4: Simplify right side
    30,854,937x = 4,331,021,778,629,001
  5. Step 5: Solve for x
    x = 4,331,021,778,629,001/30,854,937
  6. Step 6: Final answer
    x = 140,367,221.58

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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.