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Finding the Third Proportional to 436,069,904.06 and 670,269,519.84

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Solution

The third proportional to 436,069,904.06 and 670,269,519.84 is: 1,030,250,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,069,904.06 : 670,269,519.84 = 670,269,519.84 : x
  2. Step 2: Convert to fraction form
    436,069,904.06/670,269,519.84 = 670,269,519.84/x
  3. Step 3: Cross multiply
    436,069,904.06x = 670,269,519.84 × 670,269,519.84
  4. Step 4: Simplify right side
    436,069,904.06x = 449,261,229,231,571,200
  5. Step 5: Solve for x
    x = 449,261,229,231,571,200/436,069,904.06
  6. Step 6: Final answer
    x = 1,030,250,482.88

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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.