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Finding the Third Proportional to 45,330,315,176 and 97,028,462,291

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Solution

The third proportional to 45,330,315,176 and 97,028,462,291 is: 207,687,117,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,330,315,176 : 97,028,462,291 = 97,028,462,291 : x
  2. Step 2: Convert to fraction form
    45,330,315,176/97,028,462,291 = 97,028,462,291/x
  3. Step 3: Cross multiply
    45,330,315,176x = 97,028,462,291 × 97,028,462,291
  4. Step 4: Simplify right side
    45,330,315,176x = 9,414,522,494,556,008,611,840
  5. Step 5: Solve for x
    x = 9,414,522,494,556,008,611,840/45,330,315,176
  6. Step 6: Final answer
    x = 207,687,117,506.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.