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Finding the Third Proportional to 58,977,997,820 and 129,977,589,700

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Solution

The third proportional to 58,977,997,820 and 129,977,589,700 is: 286,448,751,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,977,997,820 : 129,977,589,700 = 129,977,589,700 : x
  2. Step 2: Convert to fraction form
    58,977,997,820/129,977,589,700 = 129,977,589,700/x
  3. Step 3: Cross multiply
    58,977,997,820x = 129,977,589,700 × 129,977,589,700
  4. Step 4: Simplify right side
    58,977,997,820x = 16,894,173,824,221,546,807,296
  5. Step 5: Solve for x
    x = 16,894,173,824,221,546,807,296/58,977,997,820
  6. Step 6: Final answer
    x = 286,448,751,206.89

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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.