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Finding the Third Proportional to 23,849,749 and 51,476,447

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Solution

The third proportional to 23,849,749 and 51,476,447 is: 111,104,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,849,749 : 51,476,447 = 51,476,447 : x
  2. Step 2: Convert to fraction form
    23,849,749/51,476,447 = 51,476,447/x
  3. Step 3: Cross multiply
    23,849,749x = 51,476,447 × 51,476,447
  4. Step 4: Simplify right side
    23,849,749x = 2,649,824,595,743,809
  5. Step 5: Solve for x
    x = 2,649,824,595,743,809/23,849,749
  6. Step 6: Final answer
    x = 111,104,925.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.