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Finding the Third Proportional to 827,789,116 and 1,802,544,628

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Solution

The third proportional to 827,789,116 and 1,802,544,628 is: 3,925,114,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,789,116 : 1,802,544,628 = 1,802,544,628 : x
  2. Step 2: Convert to fraction form
    827,789,116/1,802,544,628 = 1,802,544,628/x
  3. Step 3: Cross multiply
    827,789,116x = 1,802,544,628 × 1,802,544,628
  4. Step 4: Simplify right side
    827,789,116x = 3,249,167,135,931,658,240
  5. Step 5: Solve for x
    x = 3,249,167,135,931,658,240/827,789,116
  6. Step 6: Final answer
    x = 3,925,114,589.13

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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.