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Finding the Third Proportional to 251,923,595,607 and 555,197,242,415.62

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Solution

The third proportional to 251,923,595,607 and 555,197,242,415.62 is: 1,223,561,362,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,923,595,607 : 555,197,242,415.62 = 555,197,242,415.62 : x
  2. Step 2: Convert to fraction form
    251,923,595,607/555,197,242,415.62 = 555,197,242,415.62/x
  3. Step 3: Cross multiply
    251,923,595,607x = 555,197,242,415.62 × 555,197,242,415.62
  4. Step 4: Simplify right side
    251,923,595,607x = 308,243,977,985,908,702,969,856
  5. Step 5: Solve for x
    x = 308,243,977,985,908,702,969,856/251,923,595,607
  6. Step 6: Final answer
    x = 1,223,561,362,893.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.