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Finding the Third Proportional to 1,713,255,429,792.30 and 2,591,917,957,009.30

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Solution

The third proportional to 1,713,255,429,792.30 and 2,591,917,957,009.30 is: 3,921,212,551,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713,255,429,792.30 : 2,591,917,957,009.30 = 2,591,917,957,009.30 : x
  2. Step 2: Convert to fraction form
    1,713,255,429,792.30/2,591,917,957,009.30 = 2,591,917,957,009.30/x
  3. Step 3: Cross multiply
    1,713,255,429,792.30x = 2,591,917,957,009.30 × 2,591,917,957,009.30
  4. Step 4: Simplify right side
    1,713,255,429,792.30x = 6,718,038,695,867,262,974,296,064
  5. Step 5: Solve for x
    x = 6,718,038,695,867,262,974,296,064/1,713,255,429,792.30
  6. Step 6: Final answer
    x = 3,921,212,551,873.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.