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Finding the Third Proportional to 503,847,180,560 and 1,110,394,462,856

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Solution

The third proportional to 503,847,180,560 and 1,110,394,462,856 is: 2,447,122,680,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,847,180,560 : 1,110,394,462,856 = 1,110,394,462,856 : x
  2. Step 2: Convert to fraction form
    503,847,180,560/1,110,394,462,856 = 1,110,394,462,856/x
  3. Step 3: Cross multiply
    503,847,180,560x = 1,110,394,462,856 × 1,110,394,462,856
  4. Step 4: Simplify right side
    503,847,180,560x = 1,232,975,863,141,264,678,453,248
  5. Step 5: Solve for x
    x = 1,232,975,863,141,264,678,453,248/503,847,180,560
  6. Step 6: Final answer
    x = 2,447,122,680,672.49

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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.