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Finding the Third Proportional to 73,869,521,942 and 149,794,549,618

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Solution

The third proportional to 73,869,521,942 and 149,794,549,618 is: 303,757,307,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,869,521,942 : 149,794,549,618 = 149,794,549,618 : x
  2. Step 2: Convert to fraction form
    73,869,521,942/149,794,549,618 = 149,794,549,618/x
  3. Step 3: Cross multiply
    73,869,521,942x = 149,794,549,618 × 149,794,549,618
  4. Step 4: Simplify right side
    73,869,521,942x = 22,438,407,095,259,464,990,720
  5. Step 5: Solve for x
    x = 22,438,407,095,259,464,990,720/73,869,521,942
  6. Step 6: Final answer
    x = 303,757,307,552.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.