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Finding the Third Proportional to 1,151,333,392 and 1,768,588,917.50

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Solution

The third proportional to 1,151,333,392 and 1,768,588,917.50 is: 2,716,768,905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,333,392 : 1,768,588,917.50 = 1,768,588,917.50 : x
  2. Step 2: Convert to fraction form
    1,151,333,392/1,768,588,917.50 = 1,768,588,917.50/x
  3. Step 3: Cross multiply
    1,151,333,392x = 1,768,588,917.50 × 1,768,588,917.50
  4. Step 4: Simplify right side
    1,151,333,392x = 3,127,906,759,103,821,824
  5. Step 5: Solve for x
    x = 3,127,906,759,103,821,824/1,151,333,392
  6. Step 6: Final answer
    x = 2,716,768,905.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.