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Finding the Third Proportional to 1,222,674,872 and 2,685,547,540

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Solution

The third proportional to 1,222,674,872 and 2,685,547,540 is: 5,898,678,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,674,872 : 2,685,547,540 = 2,685,547,540 : x
  2. Step 2: Convert to fraction form
    1,222,674,872/2,685,547,540 = 2,685,547,540/x
  3. Step 3: Cross multiply
    1,222,674,872x = 2,685,547,540 × 2,685,547,540
  4. Step 4: Simplify right side
    1,222,674,872x = 7,212,165,589,600,051,200
  5. Step 5: Solve for x
    x = 7,212,165,589,600,051,200/1,222,674,872
  6. Step 6: Final answer
    x = 5,898,678,180.74

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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.