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Finding the Third Proportional to 17,538,664,887 and 40,924,965,618

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Solution

The third proportional to 17,538,664,887 and 40,924,965,618 is: 95,494,886,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538,664,887 : 40,924,965,618 = 40,924,965,618 : x
  2. Step 2: Convert to fraction form
    17,538,664,887/40,924,965,618 = 40,924,965,618/x
  3. Step 3: Cross multiply
    17,538,664,887x = 40,924,965,618 × 40,924,965,618
  4. Step 4: Simplify right side
    17,538,664,887x = 1,674,852,810,834,482,036,736
  5. Step 5: Solve for x
    x = 1,674,852,810,834,482,036,736/17,538,664,887
  6. Step 6: Final answer
    x = 95,494,886,391.03

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.