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Finding the Third Proportional to 13,589,622,806,642 and 29,810,266,573,898

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Solution

The third proportional to 13,589,622,806,642 and 29,810,266,573,898 is: 65,391,954,276,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589,622,806,642 : 29,810,266,573,898 = 29,810,266,573,898 : x
  2. Step 2: Convert to fraction form
    13,589,622,806,642/29,810,266,573,898 = 29,810,266,573,898/x
  3. Step 3: Cross multiply
    13,589,622,806,642x = 29,810,266,573,898 × 29,810,266,573,898
  4. Step 4: Simplify right side
    13,589,622,806,642x = 888,651,993,206,860,400,136,552,448
  5. Step 5: Solve for x
    x = 888,651,993,206,860,400,136,552,448/13,589,622,806,642
  6. Step 6: Final answer
    x = 65,391,954,276,503.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.