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Finding the Third Proportional to 30,964,536 and 65,620,656

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Solution

The third proportional to 30,964,536 and 65,620,656 is: 139,064,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964,536 : 65,620,656 = 65,620,656 : x
  2. Step 2: Convert to fraction form
    30,964,536/65,620,656 = 65,620,656/x
  3. Step 3: Cross multiply
    30,964,536x = 65,620,656 × 65,620,656
  4. Step 4: Simplify right side
    30,964,536x = 4,306,070,493,870,336
  5. Step 5: Solve for x
    x = 4,306,070,493,870,336/30,964,536
  6. Step 6: Final answer
    x = 139,064,589.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.