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Finding the Third Proportional to 1,754,089,365 and 3,900,365,478

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Solution

The third proportional to 1,754,089,365 and 3,900,365,478 is: 8,672,791,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754,089,365 : 3,900,365,478 = 3,900,365,478 : x
  2. Step 2: Convert to fraction form
    1,754,089,365/3,900,365,478 = 3,900,365,478/x
  3. Step 3: Cross multiply
    1,754,089,365x = 3,900,365,478 × 3,900,365,478
  4. Step 4: Simplify right side
    1,754,089,365x = 15,212,850,861,974,167,552
  5. Step 5: Solve for x
    x = 15,212,850,861,974,167,552/1,754,089,365
  6. Step 6: Final answer
    x = 8,672,791,230.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.