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Finding the Third Proportional to 170,030,016 and 363,699,072

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Solution

The third proportional to 170,030,016 and 363,699,072 is: 777,962,727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,030,016 : 363,699,072 = 363,699,072 : x
  2. Step 2: Convert to fraction form
    170,030,016/363,699,072 = 363,699,072/x
  3. Step 3: Cross multiply
    170,030,016x = 363,699,072 × 363,699,072
  4. Step 4: Simplify right side
    170,030,016x = 132,277,014,973,661,184
  5. Step 5: Solve for x
    x = 132,277,014,973,661,184/170,030,016
  6. Step 6: Final answer
    x = 777,962,727.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.