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Finding the Third Proportional to 1,745,093,468 and 2,611,457,283

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Solution

The third proportional to 1,745,093,468 and 2,611,457,283 is: 3,907,933,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,093,468 : 2,611,457,283 = 2,611,457,283 : x
  2. Step 2: Convert to fraction form
    1,745,093,468/2,611,457,283 = 2,611,457,283/x
  3. Step 3: Cross multiply
    1,745,093,468x = 2,611,457,283 × 2,611,457,283
  4. Step 4: Simplify right side
    1,745,093,468x = 6,819,709,140,933,742,592
  5. Step 5: Solve for x
    x = 6,819,709,140,933,742,592/1,745,093,468
  6. Step 6: Final answer
    x = 3,907,933,452.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.