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Finding the Third Proportional to 2,866,969,049,969 and 6,142,872,083,881

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Solution

The third proportional to 2,866,969,049,969 and 6,142,872,083,881 is: 13,161,940,984,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866,969,049,969 : 6,142,872,083,881 = 6,142,872,083,881 : x
  2. Step 2: Convert to fraction form
    2,866,969,049,969/6,142,872,083,881 = 6,142,872,083,881/x
  3. Step 3: Cross multiply
    2,866,969,049,969x = 6,142,872,083,881 × 6,142,872,083,881
  4. Step 4: Simplify right side
    2,866,969,049,969x = 37,734,877,438,924,500,552,908,800
  5. Step 5: Solve for x
    x = 37,734,877,438,924,500,552,908,800/2,866,969,049,969
  6. Step 6: Final answer
    x = 13,161,940,984,096.96

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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.