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Finding the Third Proportional to 34,095,355,984,055 and 69,998,206,114,014

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Solution

The third proportional to 34,095,355,984,055 and 69,998,206,114,014 is: 143,707,221,050,028

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,095,355,984,055 : 69,998,206,114,014 = 69,998,206,114,014 : x
  2. Step 2: Convert to fraction form
    34,095,355,984,055/69,998,206,114,014 = 69,998,206,114,014/x
  3. Step 3: Cross multiply
    34,095,355,984,055x = 69,998,206,114,014 × 69,998,206,114,014
  4. Step 4: Simplify right side
    34,095,355,984,055x = 4,899,748,859,179,986,852,994,088,960
  5. Step 5: Solve for x
    x = 4,899,748,859,179,986,852,994,088,960/34,095,355,984,055
  6. Step 6: Final answer
    x = 143,707,221,050,028

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.