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Finding the Third Proportional to 984,076,548.98 and 2,168,739,236.29

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Solution

The third proportional to 984,076,548.98 and 2,168,739,236.29 is: 4,779,536,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,076,548.98 : 2,168,739,236.29 = 2,168,739,236.29 : x
  2. Step 2: Convert to fraction form
    984,076,548.98/2,168,739,236.29 = 2,168,739,236.29/x
  3. Step 3: Cross multiply
    984,076,548.98x = 2,168,739,236.29 × 2,168,739,236.29
  4. Step 4: Simplify right side
    984,076,548.98x = 4,703,429,875,002,478,592
  5. Step 5: Solve for x
    x = 4,703,429,875,002,478,592/984,076,548.98
  6. Step 6: Final answer
    x = 4,779,536,591.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.