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Finding the Third Proportional to 21,873,408 and 47,864,160

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Solution

The third proportional to 21,873,408 and 47,864,160 is: 104,738,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873,408 : 47,864,160 = 47,864,160 : x
  2. Step 2: Convert to fraction form
    21,873,408/47,864,160 = 47,864,160/x
  3. Step 3: Cross multiply
    21,873,408x = 47,864,160 × 47,864,160
  4. Step 4: Simplify right side
    21,873,408x = 2,290,977,812,505,600
  5. Step 5: Solve for x
    x = 2,290,977,812,505,600/21,873,408
  6. Step 6: Final answer
    x = 104,738,036.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.