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Finding the Third Proportional to 679,099,776 and 1,455,010,440

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Solution

The third proportional to 679,099,776 and 1,455,010,440 is: 3,117,443,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,099,776 : 1,455,010,440 = 1,455,010,440 : x
  2. Step 2: Convert to fraction form
    679,099,776/1,455,010,440 = 1,455,010,440/x
  3. Step 3: Cross multiply
    679,099,776x = 1,455,010,440 × 1,455,010,440
  4. Step 4: Simplify right side
    679,099,776x = 2,117,055,380,508,993,536
  5. Step 5: Solve for x
    x = 2,117,055,380,508,993,536/679,099,776
  6. Step 6: Final answer
    x = 3,117,443,791.51

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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.