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Finding the Third Proportional to 1,089,726,048 and 2,421,316,416

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Solution

The third proportional to 1,089,726,048 and 2,421,316,416 is: 5,380,043,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089,726,048 : 2,421,316,416 = 2,421,316,416 : x
  2. Step 2: Convert to fraction form
    1,089,726,048/2,421,316,416 = 2,421,316,416/x
  3. Step 3: Cross multiply
    1,089,726,048x = 2,421,316,416 × 2,421,316,416
  4. Step 4: Simplify right side
    1,089,726,048x = 5,862,773,186,391,085,056
  5. Step 5: Solve for x
    x = 5,862,773,186,391,085,056/1,089,726,048
  6. Step 6: Final answer
    x = 5,380,043,174.29

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