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Finding the Third Proportional to 654,328,599,978.15 and 1,431,918,365,059.40

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Solution

The third proportional to 654,328,599,978.15 and 1,431,918,365,059.40 is: 3,133,578,761,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,328,599,978.15 : 1,431,918,365,059.40 = 1,431,918,365,059.40 : x
  2. Step 2: Convert to fraction form
    654,328,599,978.15/1,431,918,365,059.40 = 1,431,918,365,059.40/x
  3. Step 3: Cross multiply
    654,328,599,978.15x = 1,431,918,365,059.40 × 1,431,918,365,059.40
  4. Step 4: Simplify right side
    654,328,599,978.15x = 2,050,390,204,194,384,888,463,360
  5. Step 5: Solve for x
    x = 2,050,390,204,194,384,888,463,360/654,328,599,978.15
  6. Step 6: Final answer
    x = 3,133,578,761,898.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.