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Finding the Third Proportional to 628,439,599,316 and 1,378,548,342,184

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Solution

The third proportional to 628,439,599,316 and 1,378,548,342,184 is: 3,023,990,744,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,439,599,316 : 1,378,548,342,184 = 1,378,548,342,184 : x
  2. Step 2: Convert to fraction form
    628,439,599,316/1,378,548,342,184 = 1,378,548,342,184/x
  3. Step 3: Cross multiply
    628,439,599,316x = 1,378,548,342,184 × 1,378,548,342,184
  4. Step 4: Simplify right side
    628,439,599,316x = 1,900,395,531,738,254,772,535,296
  5. Step 5: Solve for x
    x = 1,900,395,531,738,254,772,535,296/628,439,599,316
  6. Step 6: Final answer
    x = 3,023,990,744,387.63

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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.