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Finding the Third Proportional to 2,182,404,352 and 4,675,326,464

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Solution

The third proportional to 2,182,404,352 and 4,675,326,464 is: 10,015,869,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,404,352 : 4,675,326,464 = 4,675,326,464 : x
  2. Step 2: Convert to fraction form
    2,182,404,352/4,675,326,464 = 4,675,326,464/x
  3. Step 3: Cross multiply
    2,182,404,352x = 4,675,326,464 × 4,675,326,464
  4. Step 4: Simplify right side
    2,182,404,352x = 21,858,677,544,978,743,296
  5. Step 5: Solve for x
    x = 21,858,677,544,978,743,296/2,182,404,352
  6. Step 6: Final answer
    x = 10,015,869,664.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.