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Finding the Third Proportional to 3,140,904,906 and 6,805,258,278

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Solution

The third proportional to 3,140,904,906 and 6,805,258,278 is: 14,744,648,951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140,904,906 : 6,805,258,278 = 6,805,258,278 : x
  2. Step 2: Convert to fraction form
    3,140,904,906/6,805,258,278 = 6,805,258,278/x
  3. Step 3: Cross multiply
    3,140,904,906x = 6,805,258,278 × 6,805,258,278
  4. Step 4: Simplify right side
    3,140,904,906x = 46,311,540,230,287,523,840
  5. Step 5: Solve for x
    x = 46,311,540,230,287,523,840/3,140,904,906
  6. Step 6: Final answer
    x = 14,744,648,951.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.