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Finding the Third Proportional to 7,266,150,578 and 15,907,905,796

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Solution

The third proportional to 7,266,150,578 and 15,907,905,796 is: 34,827,445,990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266,150,578 : 15,907,905,796 = 15,907,905,796 : x
  2. Step 2: Convert to fraction form
    7,266,150,578/15,907,905,796 = 15,907,905,796/x
  3. Step 3: Cross multiply
    7,266,150,578x = 15,907,905,796 × 15,907,905,796
  4. Step 4: Simplify right side
    7,266,150,578x = 253,061,466,814,410,391,552
  5. Step 5: Solve for x
    x = 253,061,466,814,410,391,552/7,266,150,578
  6. Step 6: Final answer
    x = 34,827,445,990.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.