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Finding the Third Proportional to 436,070,165 and 670,270,047

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Solution

The third proportional to 436,070,165 and 670,270,047 is: 1,030,251,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,070,165 : 670,270,047 = 670,270,047 : x
  2. Step 2: Convert to fraction form
    436,070,165/670,270,047 = 670,270,047/x
  3. Step 3: Cross multiply
    436,070,165x = 670,270,047 × 670,270,047
  4. Step 4: Simplify right side
    436,070,165x = 449,261,935,905,382,208
  5. Step 5: Solve for x
    x = 449,261,935,905,382,208/436,070,165
  6. Step 6: Final answer
    x = 1,030,251,486.95

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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.