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Finding the Third Proportional to 34,095,355,976,628 and 69,998,206,100,706

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Solution

The third proportional to 34,095,355,976,628 and 69,998,206,100,706 is: 143,707,221,026,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,095,355,976,628 : 69,998,206,100,706 = 69,998,206,100,706 : x
  2. Step 2: Convert to fraction form
    34,095,355,976,628/69,998,206,100,706 = 69,998,206,100,706/x
  3. Step 3: Cross multiply
    34,095,355,976,628x = 69,998,206,100,706 × 69,998,206,100,706
  4. Step 4: Simplify right side
    34,095,355,976,628x = 4,899,748,857,316,914,427,506,720,768
  5. Step 5: Solve for x
    x = 4,899,748,857,316,914,427,506,720,768/34,095,355,976,628
  6. Step 6: Final answer
    x = 143,707,221,026,688.78

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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.