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Finding the Third Proportional to 46,284,602 and 99,534,772

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Solution

The third proportional to 46,284,602 and 99,534,772 is: 214,048,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284,602 : 99,534,772 = 99,534,772 : x
  2. Step 2: Convert to fraction form
    46,284,602/99,534,772 = 99,534,772/x
  3. Step 3: Cross multiply
    46,284,602x = 99,534,772 × 99,534,772
  4. Step 4: Simplify right side
    46,284,602x = 9,907,170,837,091,984
  5. Step 5: Solve for x
    x = 9,907,170,837,091,984/46,284,602
  6. Step 6: Final answer
    x = 214,048,958.16

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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.