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Finding the Third Proportional to 908,614,198 and 1,976,426,965

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Solution

The third proportional to 908,614,198 and 1,976,426,965 is: 4,299,144,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,614,198 : 1,976,426,965 = 1,976,426,965 : x
  2. Step 2: Convert to fraction form
    908,614,198/1,976,426,965 = 1,976,426,965/x
  3. Step 3: Cross multiply
    908,614,198x = 1,976,426,965 × 1,976,426,965
  4. Step 4: Simplify right side
    908,614,198x = 3,906,263,547,979,111,424
  5. Step 5: Solve for x
    x = 3,906,263,547,979,111,424/908,614,198
  6. Step 6: Final answer
    x = 4,299,144,297.52

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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.