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Finding the Third Proportional to 659,968,148 and 1,374,141,064

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Solution

The third proportional to 659,968,148 and 1,374,141,064 is: 2,861,143,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,968,148 : 1,374,141,064 = 1,374,141,064 : x
  2. Step 2: Convert to fraction form
    659,968,148/1,374,141,064 = 1,374,141,064/x
  3. Step 3: Cross multiply
    659,968,148x = 1,374,141,064 × 1,374,141,064
  4. Step 4: Simplify right side
    659,968,148x = 1,888,263,663,771,052,032
  5. Step 5: Solve for x
    x = 1,888,263,663,771,052,032/659,968,148
  6. Step 6: Final answer
    x = 2,861,143,631.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.