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Finding the Third Proportional to 827,816,170.50 and 1,802,598,741

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Solution

The third proportional to 827,816,170.50 and 1,802,598,741 is: 3,925,221,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,816,170.50 : 1,802,598,741 = 1,802,598,741 : x
  2. Step 2: Convert to fraction form
    827,816,170.50/1,802,598,741 = 1,802,598,741/x
  3. Step 3: Cross multiply
    827,816,170.50x = 1,802,598,741 × 1,802,598,741
  4. Step 4: Simplify right side
    827,816,170.50x = 3,249,362,221,054,785,024
  5. Step 5: Solve for x
    x = 3,249,362,221,054,785,024/827,816,170.50
  6. Step 6: Final answer
    x = 3,925,221,971.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.