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Finding the Third Proportional to 1,674,089,740 and 2,612,856,355

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Solution

The third proportional to 1,674,089,740 and 2,612,856,355 is: 4,078,048,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674,089,740 : 2,612,856,355 = 2,612,856,355 : x
  2. Step 2: Convert to fraction form
    1,674,089,740/2,612,856,355 = 2,612,856,355/x
  3. Step 3: Cross multiply
    1,674,089,740x = 2,612,856,355 × 2,612,856,355
  4. Step 4: Simplify right side
    1,674,089,740x = 6,827,018,331,863,885,824
  5. Step 5: Solve for x
    x = 6,827,018,331,863,885,824/1,674,089,740
  6. Step 6: Final answer
    x = 4,078,048,009.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.