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Finding the Third Proportional to 436,070,216 and 670,270,120

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Solution

The third proportional to 436,070,216 and 670,270,120 is: 1,030,251,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,070,216 : 670,270,120 = 670,270,120 : x
  2. Step 2: Convert to fraction form
    436,070,216/670,270,120 = 670,270,120/x
  3. Step 3: Cross multiply
    436,070,216x = 670,270,120 × 670,270,120
  4. Step 4: Simplify right side
    436,070,216x = 449,262,033,764,814,400
  5. Step 5: Solve for x
    x = 449,262,033,764,814,400/436,070,216
  6. Step 6: Final answer
    x = 1,030,251,590.87

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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.