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Finding the Third Proportional to 1,138,887,366 and 1,774,916,097

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Solution

The third proportional to 1,138,887,366 and 1,774,916,097 is: 2,766,144,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,887,366 : 1,774,916,097 = 1,774,916,097 : x
  2. Step 2: Convert to fraction form
    1,138,887,366/1,774,916,097 = 1,774,916,097/x
  3. Step 3: Cross multiply
    1,138,887,366x = 1,774,916,097 × 1,774,916,097
  4. Step 4: Simplify right side
    1,138,887,366x = 3,150,327,151,389,713,408
  5. Step 5: Solve for x
    x = 3,150,327,151,389,713,408/1,138,887,366
  6. Step 6: Final answer
    x = 2,766,144,612.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.