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Finding the Third Proportional to 481,839,498.28 and 650,114,617.64

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Solution

The third proportional to 481,839,498.28 and 650,114,617.64 is: 877,157,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,839,498.28 : 650,114,617.64 = 650,114,617.64 : x
  2. Step 2: Convert to fraction form
    481,839,498.28/650,114,617.64 = 650,114,617.64/x
  3. Step 3: Cross multiply
    481,839,498.28x = 650,114,617.64 × 650,114,617.64
  4. Step 4: Simplify right side
    481,839,498.28x = 422,649,016,070,035,584
  5. Step 5: Solve for x
    x = 422,649,016,070,035,584/481,839,498.28
  6. Step 6: Final answer
    x = 877,157,264.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.