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Finding the Third Proportional to 616,753,194 and 1,346,525,020

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Solution

The third proportional to 616,753,194 and 1,346,525,020 is: 2,939,797,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,753,194 : 1,346,525,020 = 1,346,525,020 : x
  2. Step 2: Convert to fraction form
    616,753,194/1,346,525,020 = 1,346,525,020/x
  3. Step 3: Cross multiply
    616,753,194x = 1,346,525,020 × 1,346,525,020
  4. Step 4: Simplify right side
    616,753,194x = 1,813,129,629,486,000,384
  5. Step 5: Solve for x
    x = 1,813,129,629,486,000,384/616,753,194
  6. Step 6: Final answer
    x = 2,939,797,713.45

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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.