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Finding the Third Proportional to 2,128,274,798 and 4,972,610,470

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Solution

The third proportional to 2,128,274,798 and 4,972,610,470 is: 11,618,262,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,274,798 : 4,972,610,470 = 4,972,610,470 : x
  2. Step 2: Convert to fraction form
    2,128,274,798/4,972,610,470 = 4,972,610,470/x
  3. Step 3: Cross multiply
    2,128,274,798x = 4,972,610,470 × 4,972,610,470
  4. Step 4: Simplify right side
    2,128,274,798x = 24,726,854,886,353,620,992
  5. Step 5: Solve for x
    x = 24,726,854,886,353,620,992/2,128,274,798
  6. Step 6: Final answer
    x = 11,618,262,317.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.