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Finding the Third Proportional to 306,471,613,608 and 716,055,975,144

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Solution

The third proportional to 306,471,613,608 and 716,055,975,144 is: 1,673,029,855,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,471,613,608 : 716,055,975,144 = 716,055,975,144 : x
  2. Step 2: Convert to fraction form
    306,471,613,608/716,055,975,144 = 716,055,975,144/x
  3. Step 3: Cross multiply
    306,471,613,608x = 716,055,975,144 × 716,055,975,144
  4. Step 4: Simplify right side
    306,471,613,608x = 512,736,159,539,424,760,168,448
  5. Step 5: Solve for x
    x = 512,736,159,539,424,760,168,448/306,471,613,608
  6. Step 6: Final answer
    x = 1,673,029,855,858.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.