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Finding the Third Proportional to 474,860,122.50 and 1,031,464,738.50

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Solution

The third proportional to 474,860,122.50 and 1,031,464,738.50 is: 2,240,490,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,860,122.50 : 1,031,464,738.50 = 1,031,464,738.50 : x
  2. Step 2: Convert to fraction form
    474,860,122.50/1,031,464,738.50 = 1,031,464,738.50/x
  3. Step 3: Cross multiply
    474,860,122.50x = 1,031,464,738.50 × 1,031,464,738.50
  4. Step 4: Simplify right side
    474,860,122.50x = 1,063,919,506,768,873,344
  5. Step 5: Solve for x
    x = 1,063,919,506,768,873,344/474,860,122.50
  6. Step 6: Final answer
    x = 2,240,490,317.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.