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Finding the Third Proportional to 1,604,980,375 and 3,255,089,143

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Solution

The third proportional to 1,604,980,375 and 3,255,089,143 is: 6,601,703,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,980,375 : 3,255,089,143 = 3,255,089,143 : x
  2. Step 2: Convert to fraction form
    1,604,980,375/3,255,089,143 = 3,255,089,143/x
  3. Step 3: Cross multiply
    1,604,980,375x = 3,255,089,143 × 3,255,089,143
  4. Step 4: Simplify right side
    1,604,980,375x = 10,595,605,328,876,474,368
  5. Step 5: Solve for x
    x = 10,595,605,328,876,474,368/1,604,980,375
  6. Step 6: Final answer
    x = 6,601,703,979.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.