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Finding the Third Proportional to 664,380,240 and 1,453,880,388

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Solution

The third proportional to 664,380,240 and 1,453,880,388 is: 3,181,563,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,380,240 : 1,453,880,388 = 1,453,880,388 : x
  2. Step 2: Convert to fraction form
    664,380,240/1,453,880,388 = 1,453,880,388/x
  3. Step 3: Cross multiply
    664,380,240x = 1,453,880,388 × 1,453,880,388
  4. Step 4: Simplify right side
    664,380,240x = 2,113,768,182,611,030,528
  5. Step 5: Solve for x
    x = 2,113,768,182,611,030,528/664,380,240
  6. Step 6: Final answer
    x = 3,181,563,892.71

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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.