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Finding the Third Proportional to 2,184,924,483 and 3,194,435,988

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Solution

The third proportional to 2,184,924,483 and 3,194,435,988 is: 4,670,377,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,924,483 : 3,194,435,988 = 3,194,435,988 : x
  2. Step 2: Convert to fraction form
    2,184,924,483/3,194,435,988 = 3,194,435,988/x
  3. Step 3: Cross multiply
    2,184,924,483x = 3,194,435,988 × 3,194,435,988
  4. Step 4: Simplify right side
    2,184,924,483x = 10,204,421,281,429,536,768
  5. Step 5: Solve for x
    x = 10,204,421,281,429,536,768/2,184,924,483
  6. Step 6: Final answer
    x = 4,670,377,104.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.