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Finding the Third Proportional to 546,433,621.12 and 839,388,880.05

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Solution

The third proportional to 546,433,621.12 and 839,388,880.05 is: 1,289,403,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,433,621.12 : 839,388,880.05 = 839,388,880.05 : x
  2. Step 2: Convert to fraction form
    546,433,621.12/839,388,880.05 = 839,388,880.05/x
  3. Step 3: Cross multiply
    546,433,621.12x = 839,388,880.05 × 839,388,880.05
  4. Step 4: Simplify right side
    546,433,621.12x = 704,573,691,959,449,984
  5. Step 5: Solve for x
    x = 704,573,691,959,449,984/546,433,621.12
  6. Step 6: Final answer
    x = 1,289,403,991.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.