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Finding the Third Proportional to 1,185,790,677 and 2,575,710,954

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Solution

The third proportional to 1,185,790,677 and 2,575,710,954 is: 5,594,821,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,790,677 : 2,575,710,954 = 2,575,710,954 : x
  2. Step 2: Convert to fraction form
    1,185,790,677/2,575,710,954 = 2,575,710,954/x
  3. Step 3: Cross multiply
    1,185,790,677x = 2,575,710,954 × 2,575,710,954
  4. Step 4: Simplify right side
    1,185,790,677x = 6,634,286,918,555,589,632
  5. Step 5: Solve for x
    x = 6,634,286,918,555,589,632/1,185,790,677
  6. Step 6: Final answer
    x = 5,594,821,284.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.