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Finding the Third Proportional to 3,738,360,644 and 7,977,081,614

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Solution

The third proportional to 3,738,360,644 and 7,977,081,614 is: 17,021,854,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738,360,644 : 7,977,081,614 = 7,977,081,614 : x
  2. Step 2: Convert to fraction form
    3,738,360,644/7,977,081,614 = 7,977,081,614/x
  3. Step 3: Cross multiply
    3,738,360,644x = 7,977,081,614 × 7,977,081,614
  4. Step 4: Simplify right side
    3,738,360,644x = 63,633,831,076,416,847,872
  5. Step 5: Solve for x
    x = 63,633,831,076,416,847,872/3,738,360,644
  6. Step 6: Final answer
    x = 17,021,854,533.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.