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Finding the Third Proportional to 1,674,089,738 and 2,612,856,352

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Solution

The third proportional to 1,674,089,738 and 2,612,856,352 is: 4,078,048,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674,089,738 : 2,612,856,352 = 2,612,856,352 : x
  2. Step 2: Convert to fraction form
    1,674,089,738/2,612,856,352 = 2,612,856,352/x
  3. Step 3: Cross multiply
    1,674,089,738x = 2,612,856,352 × 2,612,856,352
  4. Step 4: Simplify right side
    1,674,089,738x = 6,827,018,316,186,747,904
  5. Step 5: Solve for x
    x = 6,827,018,316,186,747,904/1,674,089,738
  6. Step 6: Final answer
    x = 4,078,048,004.97

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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.