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Finding the Third Proportional to 21,873,678 and 47,864,640

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Solution

The third proportional to 21,873,678 and 47,864,640 is: 104,738,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873,678 : 47,864,640 = 47,864,640 : x
  2. Step 2: Convert to fraction form
    21,873,678/47,864,640 = 47,864,640/x
  3. Step 3: Cross multiply
    21,873,678x = 47,864,640 × 47,864,640
  4. Step 4: Simplify right side
    21,873,678x = 2,291,023,762,329,600
  5. Step 5: Solve for x
    x = 2,291,023,762,329,600/21,873,678
  6. Step 6: Final answer
    x = 104,738,844.67

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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.