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Finding the Third Proportional to 7,846,158 and 16,894,618

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Solution

The third proportional to 7,846,158 and 16,894,618 is: 36,378,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846,158 : 16,894,618 = 16,894,618 : x
  2. Step 2: Convert to fraction form
    7,846,158/16,894,618 = 16,894,618/x
  3. Step 3: Cross multiply
    7,846,158x = 16,894,618 × 16,894,618
  4. Step 4: Simplify right side
    7,846,158x = 285,428,117,365,924
  5. Step 5: Solve for x
    x = 285,428,117,365,924/7,846,158
  6. Step 6: Final answer
    x = 36,378,074.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.