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Finding the Third Proportional to 38,646,342 and 83,345,679

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Solution

The third proportional to 38,646,342 and 83,345,679 is: 179,745,400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646,342 : 83,345,679 = 83,345,679 : x
  2. Step 2: Convert to fraction form
    38,646,342/83,345,679 = 83,345,679/x
  3. Step 3: Cross multiply
    38,646,342x = 83,345,679 × 83,345,679
  4. Step 4: Simplify right side
    38,646,342x = 6,946,502,207,971,041
  5. Step 5: Solve for x
    x = 6,946,502,207,971,041/38,646,342
  6. Step 6: Final answer
    x = 179,745,400.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.