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Finding the Third Proportional to 987,000,577.50 and 1,533,213,165.75

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Solution

The third proportional to 987,000,577.50 and 1,533,213,165.75 is: 2,381,703,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,000,577.50 : 1,533,213,165.75 = 1,533,213,165.75 : x
  2. Step 2: Convert to fraction form
    987,000,577.50/1,533,213,165.75 = 1,533,213,165.75/x
  3. Step 3: Cross multiply
    987,000,577.50x = 1,533,213,165.75 × 1,533,213,165.75
  4. Step 4: Simplify right side
    987,000,577.50x = 2,350,742,611,629,136,896
  5. Step 5: Solve for x
    x = 2,350,742,611,629,136,896/987,000,577.50
  6. Step 6: Final answer
    x = 2,381,703,380.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.