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Finding the Third Proportional to 26,019,331,515 and 35,106,187,564

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Solution

The third proportional to 26,019,331,515 and 35,106,187,564 is: 47,366,489,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,019,331,515 : 35,106,187,564 = 35,106,187,564 : x
  2. Step 2: Convert to fraction form
    26,019,331,515/35,106,187,564 = 35,106,187,564/x
  3. Step 3: Cross multiply
    26,019,331,515x = 35,106,187,564 × 35,106,187,564
  4. Step 4: Simplify right side
    26,019,331,515x = 1,232,444,405,278,748,180,480
  5. Step 5: Solve for x
    x = 1,232,444,405,278,748,180,480/26,019,331,515
  6. Step 6: Final answer
    x = 47,366,489,971.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.