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Finding the Third Proportional to 13,643,618 and 29,557,768

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Solution

The third proportional to 13,643,618 and 29,557,768 is: 64,034,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643,618 : 29,557,768 = 29,557,768 : x
  2. Step 2: Convert to fraction form
    13,643,618/29,557,768 = 29,557,768/x
  3. Step 3: Cross multiply
    13,643,618x = 29,557,768 × 29,557,768
  4. Step 4: Simplify right side
    13,643,618x = 873,661,649,141,824
  5. Step 5: Solve for x
    x = 873,661,649,141,824/13,643,618
  6. Step 6: Final answer
    x = 64,034,455.46

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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.