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Finding the Third Proportional to 2,906,083,864,440 and 6,226,680,907,665

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Solution

The third proportional to 2,906,083,864,440 and 6,226,680,907,665 is: 13,341,512,817,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,083,864,440 : 6,226,680,907,665 = 6,226,680,907,665 : x
  2. Step 2: Convert to fraction form
    2,906,083,864,440/6,226,680,907,665 = 6,226,680,907,665/x
  3. Step 3: Cross multiply
    2,906,083,864,440x = 6,226,680,907,665 × 6,226,680,907,665
  4. Step 4: Simplify right side
    2,906,083,864,440x = 38,771,555,125,879,825,181,442,048
  5. Step 5: Solve for x
    x = 38,771,555,125,879,825,181,442,048/2,906,083,864,440
  6. Step 6: Final answer
    x = 13,341,512,817,404.90

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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.