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Finding the Third Proportional to 24,797,780 and 53,395,464

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Solution

The third proportional to 24,797,780 and 53,395,464 is: 114,973,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797,780 : 53,395,464 = 53,395,464 : x
  2. Step 2: Convert to fraction form
    24,797,780/53,395,464 = 53,395,464/x
  3. Step 3: Cross multiply
    24,797,780x = 53,395,464 × 53,395,464
  4. Step 4: Simplify right side
    24,797,780x = 2,851,075,575,775,296
  5. Step 5: Solve for x
    x = 2,851,075,575,775,296/24,797,780
  6. Step 6: Final answer
    x = 114,973,016.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.