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Finding the Third Proportional to 1,266,293,986 and 2,750,573,304

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Solution

The third proportional to 1,266,293,986 and 2,750,573,304 is: 5,974,642,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,293,986 : 2,750,573,304 = 2,750,573,304 : x
  2. Step 2: Convert to fraction form
    1,266,293,986/2,750,573,304 = 2,750,573,304/x
  3. Step 3: Cross multiply
    1,266,293,986x = 2,750,573,304 × 2,750,573,304
  4. Step 4: Simplify right side
    1,266,293,986x = 7,565,653,500,677,476,352
  5. Step 5: Solve for x
    x = 7,565,653,500,677,476,352/1,266,293,986
  6. Step 6: Final answer
    x = 5,974,642,211.31

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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.