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Finding the Third Proportional to 1,222,674,874 and 2,685,547,544

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Solution

The third proportional to 1,222,674,874 and 2,685,547,544 is: 5,898,678,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,674,874 : 2,685,547,544 = 2,685,547,544 : x
  2. Step 2: Convert to fraction form
    1,222,674,874/2,685,547,544 = 2,685,547,544/x
  3. Step 3: Cross multiply
    1,222,674,874x = 2,685,547,544 × 2,685,547,544
  4. Step 4: Simplify right side
    1,222,674,874x = 7,212,165,611,084,432,384
  5. Step 5: Solve for x
    x = 7,212,165,611,084,432,384/1,222,674,874
  6. Step 6: Final answer
    x = 5,898,678,188.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.