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Finding the Third Proportional to 4,681,454 and 10,220,212

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Solution

The third proportional to 4,681,454 and 10,220,212 is: 22,312,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681,454 : 10,220,212 = 10,220,212 : x
  2. Step 2: Convert to fraction form
    4,681,454/10,220,212 = 10,220,212/x
  3. Step 3: Cross multiply
    4,681,454x = 10,220,212 × 10,220,212
  4. Step 4: Simplify right side
    4,681,454x = 104,452,733,324,944
  5. Step 5: Solve for x
    x = 104,452,733,324,944/4,681,454
  6. Step 6: Final answer
    x = 22,312,028.13

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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.