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Finding the Third Proportional to 53,662,686 and 115,822,594.50

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Solution

The third proportional to 53,662,686 and 115,822,594.50 is: 249,985,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,662,686 : 115,822,594.50 = 115,822,594.50 : x
  2. Step 2: Convert to fraction form
    53,662,686/115,822,594.50 = 115,822,594.50/x
  3. Step 3: Cross multiply
    53,662,686x = 115,822,594.50 × 115,822,594.50
  4. Step 4: Simplify right side
    53,662,686x = 13,414,873,396,711,430
  5. Step 5: Solve for x
    x = 13,414,873,396,711,430/53,662,686
  6. Step 6: Final answer
    x = 249,985,127.41

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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.