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Finding the Third Proportional to 2,906,083,864,442 and 6,226,680,907,669

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Solution

The third proportional to 2,906,083,864,442 and 6,226,680,907,669 is: 13,341,512,817,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,083,864,442 : 6,226,680,907,669 = 6,226,680,907,669 : x
  2. Step 2: Convert to fraction form
    2,906,083,864,442/6,226,680,907,669 = 6,226,680,907,669/x
  3. Step 3: Cross multiply
    2,906,083,864,442x = 6,226,680,907,669 × 6,226,680,907,669
  4. Step 4: Simplify right side
    2,906,083,864,442x = 38,771,555,125,929,638,212,141,056
  5. Step 5: Solve for x
    x = 38,771,555,125,929,638,212,141,056/2,906,083,864,442
  6. Step 6: Final answer
    x = 13,341,512,817,412.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.