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Finding the Third Proportional to 46,297,152 and 68,166,648

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Solution

The third proportional to 46,297,152 and 68,166,648 is: 100,366,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,297,152 : 68,166,648 = 68,166,648 : x
  2. Step 2: Convert to fraction form
    46,297,152/68,166,648 = 68,166,648/x
  3. Step 3: Cross multiply
    46,297,152x = 68,166,648 × 68,166,648
  4. Step 4: Simplify right side
    46,297,152x = 4,646,691,899,555,904
  5. Step 5: Solve for x
    x = 4,646,691,899,555,904/46,297,152
  6. Step 6: Final answer
    x = 100,366,689.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.