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Finding the Third Proportional to 679,187,809,254 and 1,453,785,365,577

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Solution

The third proportional to 679,187,809,254 and 1,453,785,365,577 is: 3,111,793,027,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,187,809,254 : 1,453,785,365,577 = 1,453,785,365,577 : x
  2. Step 2: Convert to fraction form
    679,187,809,254/1,453,785,365,577 = 1,453,785,365,577/x
  3. Step 3: Cross multiply
    679,187,809,254x = 1,453,785,365,577 × 1,453,785,365,577
  4. Step 4: Simplify right side
    679,187,809,254x = 2,113,491,889,165,851,626,045,440
  5. Step 5: Solve for x
    x = 2,113,491,889,165,851,626,045,440/679,187,809,254
  6. Step 6: Final answer
    x = 3,111,793,027,450.32

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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.