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Finding the Third Proportional to 4,562,416,360,272 and 9,787,142,003,058

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Solution

The third proportional to 4,562,416,360,272 and 9,787,142,003,058 is: 20,995,047,585,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562,416,360,272 : 9,787,142,003,058 = 9,787,142,003,058 : x
  2. Step 2: Convert to fraction form
    4,562,416,360,272/9,787,142,003,058 = 9,787,142,003,058/x
  3. Step 3: Cross multiply
    4,562,416,360,272x = 9,787,142,003,058 × 9,787,142,003,058
  4. Step 4: Simplify right side
    4,562,416,360,272x = 95,788,148,588,022,165,231,632,384
  5. Step 5: Solve for x
    x = 95,788,148,588,022,165,231,632,384/4,562,416,360,272
  6. Step 6: Final answer
    x = 20,995,047,585,335.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.