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Finding the Third Proportional to 771,055,561.13 and 1,174,662,175.50

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Solution

The third proportional to 771,055,561.13 and 1,174,662,175.50 is: 1,789,535,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,055,561.13 : 1,174,662,175.50 = 1,174,662,175.50 : x
  2. Step 2: Convert to fraction form
    771,055,561.13/1,174,662,175.50 = 1,174,662,175.50/x
  3. Step 3: Cross multiply
    771,055,561.13x = 1,174,662,175.50 × 1,174,662,175.50
  4. Step 4: Simplify right side
    771,055,561.13x = 1,379,831,226,550,392,832
  5. Step 5: Solve for x
    x = 1,379,831,226,550,392,832/771,055,561.13
  6. Step 6: Final answer
    x = 1,789,535,405.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.