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Finding the Third Proportional to 53,851,570 and 115,914,596

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Solution

The third proportional to 53,851,570 and 115,914,596 is: 249,504,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,851,570 : 115,914,596 = 115,914,596 : x
  2. Step 2: Convert to fraction form
    53,851,570/115,914,596 = 115,914,596/x
  3. Step 3: Cross multiply
    53,851,570x = 115,914,596 × 115,914,596
  4. Step 4: Simplify right side
    53,851,570x = 13,436,193,565,843,216
  5. Step 5: Solve for x
    x = 13,436,193,565,843,216/53,851,570
  6. Step 6: Final answer
    x = 249,504,212.52

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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.