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Finding the Third Proportional to 1,157,753,218,165.90 and 1,751,520,119,982.80

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Solution

The third proportional to 1,157,753,218,165.90 and 1,751,520,119,982.80 is: 2,649,807,128,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,753,218,165.90 : 1,751,520,119,982.80 = 1,751,520,119,982.80 : x
  2. Step 2: Convert to fraction form
    1,157,753,218,165.90/1,751,520,119,982.80 = 1,751,520,119,982.80/x
  3. Step 3: Cross multiply
    1,157,753,218,165.90x = 1,751,520,119,982.80 × 1,751,520,119,982.80
  4. Step 4: Simplify right side
    1,157,753,218,165.90x = 3,067,822,730,704,562,541,297,664
  5. Step 5: Solve for x
    x = 3,067,822,730,704,562,541,297,664/1,157,753,218,165.90
  6. Step 6: Final answer
    x = 2,649,807,128,642.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.