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Finding the Third Proportional to 46,284,057 and 99,533,709

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Solution

The third proportional to 46,284,057 and 99,533,709 is: 214,046,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284,057 : 99,533,709 = 99,533,709 : x
  2. Step 2: Convert to fraction form
    46,284,057/99,533,709 = 99,533,709/x
  3. Step 3: Cross multiply
    46,284,057x = 99,533,709 × 99,533,709
  4. Step 4: Simplify right side
    46,284,057x = 9,906,959,227,296,680
  5. Step 5: Solve for x
    x = 9,906,959,227,296,680/46,284,057
  6. Step 6: Final answer
    x = 214,046,906.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.