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Finding the Third Proportional to 335,664,984 and 518,404,056

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Solution

The third proportional to 335,664,984 and 518,404,056 is: 800,627,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,664,984 : 518,404,056 = 518,404,056 : x
  2. Step 2: Convert to fraction form
    335,664,984/518,404,056 = 518,404,056/x
  3. Step 3: Cross multiply
    335,664,984x = 518,404,056 × 518,404,056
  4. Step 4: Simplify right side
    335,664,984x = 268,742,765,277,251,136
  5. Step 5: Solve for x
    x = 268,742,765,277,251,136/335,664,984
  6. Step 6: Final answer
    x = 800,627,941.81

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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.