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Finding the Third Proportional to 1,326,538,924 and 2,839,425,016

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Solution

The third proportional to 1,326,538,924 and 2,839,425,016 is: 6,077,721,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326,538,924 : 2,839,425,016 = 2,839,425,016 : x
  2. Step 2: Convert to fraction form
    1,326,538,924/2,839,425,016 = 2,839,425,016/x
  3. Step 3: Cross multiply
    1,326,538,924x = 2,839,425,016 × 2,839,425,016
  4. Step 4: Simplify right side
    1,326,538,924x = 8,062,334,421,486,600,192
  5. Step 5: Solve for x
    x = 8,062,334,421,486,600,192/1,326,538,924
  6. Step 6: Final answer
    x = 6,077,721,712.96

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Why These Related Problems?

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