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Finding the Third Proportional to 23,842,516 and 51,496,148

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Solution

The third proportional to 23,842,516 and 51,496,148 is: 111,223,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842,516 : 51,496,148 = 51,496,148 : x
  2. Step 2: Convert to fraction form
    23,842,516/51,496,148 = 51,496,148/x
  3. Step 3: Cross multiply
    23,842,516x = 51,496,148 × 51,496,148
  4. Step 4: Simplify right side
    23,842,516x = 2,651,853,258,837,904
  5. Step 5: Solve for x
    x = 2,651,853,258,837,904/23,842,516
  6. Step 6: Final answer
    x = 111,223,717.28

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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.