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Finding the Third Proportional to 119,565,298,930 and 263,501,813,444

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Solution

The third proportional to 119,565,298,930 and 263,501,813,444 is: 580,713,687,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,565,298,930 : 263,501,813,444 = 263,501,813,444 : x
  2. Step 2: Convert to fraction form
    119,565,298,930/263,501,813,444 = 263,501,813,444/x
  3. Step 3: Cross multiply
    119,565,298,930x = 263,501,813,444 × 263,501,813,444
  4. Step 4: Simplify right side
    119,565,298,930x = 69,433,205,688,276,575,322,112
  5. Step 5: Solve for x
    x = 69,433,205,688,276,575,322,112/119,565,298,930
  6. Step 6: Final answer
    x = 580,713,687,914.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.