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Finding the Third Proportional to 18,401,686,376 and 26,314,614,012

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Solution

The third proportional to 18,401,686,376 and 26,314,614,012 is: 37,630,187,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,401,686,376 : 26,314,614,012 = 26,314,614,012 : x
  2. Step 2: Convert to fraction form
    18,401,686,376/26,314,614,012 = 26,314,614,012/x
  3. Step 3: Cross multiply
    18,401,686,376x = 26,314,614,012 × 26,314,614,012
  4. Step 4: Simplify right side
    18,401,686,376x = 692,458,910,600,546,746,368
  5. Step 5: Solve for x
    x = 692,458,910,600,546,746,368/18,401,686,376
  6. Step 6: Final answer
    x = 37,630,187,606.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.