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Finding the Third Proportional to 39,800,601 and 83,613,618

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Solution

The third proportional to 39,800,601 and 83,613,618 is: 175,656,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,800,601 : 83,613,618 = 83,613,618 : x
  2. Step 2: Convert to fraction form
    39,800,601/83,613,618 = 83,613,618/x
  3. Step 3: Cross multiply
    39,800,601x = 83,613,618 × 83,613,618
  4. Step 4: Simplify right side
    39,800,601x = 6,991,237,115,049,924
  5. Step 5: Solve for x
    x = 6,991,237,115,049,924/39,800,601
  6. Step 6: Final answer
    x = 175,656,571.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.