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Finding the Third Proportional to 58,977,997,824 and 129,977,589,708

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Solution

The third proportional to 58,977,997,824 and 129,977,589,708 is: 286,448,751,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,977,997,824 : 129,977,589,708 = 129,977,589,708 : x
  2. Step 2: Convert to fraction form
    58,977,997,824/129,977,589,708 = 129,977,589,708/x
  3. Step 3: Cross multiply
    58,977,997,824x = 129,977,589,708 × 129,977,589,708
  4. Step 4: Simplify right side
    58,977,997,824x = 16,894,173,826,301,187,588,096
  5. Step 5: Solve for x
    x = 16,894,173,826,301,187,588,096/58,977,997,824
  6. Step 6: Final answer
    x = 286,448,751,222.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.