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Finding the Third Proportional to 1,169,396,284 and 2,600,250,056

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Solution

The third proportional to 1,169,396,284 and 2,600,250,056 is: 5,781,872,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,396,284 : 2,600,250,056 = 2,600,250,056 : x
  2. Step 2: Convert to fraction form
    1,169,396,284/2,600,250,056 = 2,600,250,056/x
  3. Step 3: Cross multiply
    1,169,396,284x = 2,600,250,056 × 2,600,250,056
  4. Step 4: Simplify right side
    1,169,396,284x = 6,761,300,353,728,003,072
  5. Step 5: Solve for x
    x = 6,761,300,353,728,003,072/1,169,396,284
  6. Step 6: Final answer
    x = 5,781,872,617.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.