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Finding the Third Proportional to 59,791,911,666 and 84,093,323,205

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Solution

The third proportional to 59,791,911,666 and 84,093,323,205 is: 118,271,632,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,791,911,666 : 84,093,323,205 = 84,093,323,205 : x
  2. Step 2: Convert to fraction form
    59,791,911,666/84,093,323,205 = 84,093,323,205/x
  3. Step 3: Cross multiply
    59,791,911,666x = 84,093,323,205 × 84,093,323,205
  4. Step 4: Simplify right side
    59,791,911,666x = 7,071,687,007,660,591,284,224
  5. Step 5: Solve for x
    x = 7,071,687,007,660,591,284,224/59,791,911,666
  6. Step 6: Final answer
    x = 118,271,632,577.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.