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Finding the Third Proportional to 46,648,256 and 101,225,806

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Solution

The third proportional to 46,648,256 and 101,225,806 is: 219,658,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,648,256 : 101,225,806 = 101,225,806 : x
  2. Step 2: Convert to fraction form
    46,648,256/101,225,806 = 101,225,806/x
  3. Step 3: Cross multiply
    46,648,256x = 101,225,806 × 101,225,806
  4. Step 4: Simplify right side
    46,648,256x = 10,246,663,800,349,636
  5. Step 5: Solve for x
    x = 10,246,663,800,349,636/46,648,256
  6. Step 6: Final answer
    x = 219,658,025.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.