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Finding the Third Proportional to 243,593,946 and 500,101,546

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Solution

The third proportional to 243,593,946 and 500,101,546 is: 1,026,714,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,593,946 : 500,101,546 = 500,101,546 : x
  2. Step 2: Convert to fraction form
    243,593,946/500,101,546 = 500,101,546/x
  3. Step 3: Cross multiply
    243,593,946x = 500,101,546 × 500,101,546
  4. Step 4: Simplify right side
    243,593,946x = 250,101,556,311,590,112
  5. Step 5: Solve for x
    x = 250,101,556,311,590,112/243,593,946
  6. Step 6: Final answer
    x = 1,026,714,991.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.