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Finding the Third Proportional to 47,854,719 and 104,371,416

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Solution

The third proportional to 47,854,719 and 104,371,416 is: 227,634,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,854,719 : 104,371,416 = 104,371,416 : x
  2. Step 2: Convert to fraction form
    47,854,719/104,371,416 = 104,371,416/x
  3. Step 3: Cross multiply
    47,854,719x = 104,371,416 × 104,371,416
  4. Step 4: Simplify right side
    47,854,719x = 10,893,392,477,845,056
  5. Step 5: Solve for x
    x = 10,893,392,477,845,056/47,854,719
  6. Step 6: Final answer
    x = 227,634,655.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.