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Finding the Third Proportional to 202,436,595,741 and 421,628,749,444

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Solution

The third proportional to 202,436,595,741 and 421,628,749,444 is: 878,155,462,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,436,595,741 : 421,628,749,444 = 421,628,749,444 : x
  2. Step 2: Convert to fraction form
    202,436,595,741/421,628,749,444 = 421,628,749,444/x
  3. Step 3: Cross multiply
    202,436,595,741x = 421,628,749,444 × 421,628,749,444
  4. Step 4: Simplify right side
    202,436,595,741x = 177,770,802,357,711,329,558,528
  5. Step 5: Solve for x
    x = 177,770,802,357,711,329,558,528/202,436,595,741
  6. Step 6: Final answer
    x = 878,155,462,489.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.