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Finding the Third Proportional to 1,072,184,436 and 2,334,225,944

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Solution

The third proportional to 1,072,184,436 and 2,334,225,944 is: 5,081,784,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,184,436 : 2,334,225,944 = 2,334,225,944 : x
  2. Step 2: Convert to fraction form
    1,072,184,436/2,334,225,944 = 2,334,225,944/x
  3. Step 3: Cross multiply
    1,072,184,436x = 2,334,225,944 × 2,334,225,944
  4. Step 4: Simplify right side
    1,072,184,436x = 5,448,610,757,642,691,584
  5. Step 5: Solve for x
    x = 5,448,610,757,642,691,584/1,072,184,436
  6. Step 6: Final answer
    x = 5,081,784,975.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.