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Finding the Third Proportional to 827,911,851 and 1,816,686,642

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Solution

The third proportional to 827,911,851 and 1,816,686,642 is: 3,986,354,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,911,851 : 1,816,686,642 = 1,816,686,642 : x
  2. Step 2: Convert to fraction form
    827,911,851/1,816,686,642 = 1,816,686,642/x
  3. Step 3: Cross multiply
    827,911,851x = 1,816,686,642 × 1,816,686,642
  4. Step 4: Simplify right side
    827,911,851x = 3,300,350,355,221,236,224
  5. Step 5: Solve for x
    x = 3,300,350,355,221,236,224/827,911,851
  6. Step 6: Final answer
    x = 3,986,354,768.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.