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Finding the Third Proportional to 24,693,762 and 53,180,256

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Solution

The third proportional to 24,693,762 and 53,180,256 is: 114,528,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,693,762 : 53,180,256 = 53,180,256 : x
  2. Step 2: Convert to fraction form
    24,693,762/53,180,256 = 53,180,256/x
  3. Step 3: Cross multiply
    24,693,762x = 53,180,256 × 53,180,256
  4. Step 4: Simplify right side
    24,693,762x = 2,828,139,628,225,536
  5. Step 5: Solve for x
    x = 2,828,139,628,225,536/24,693,762
  6. Step 6: Final answer
    x = 114,528,504.33

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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.