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Finding the Third Proportional to 33,763,471,511 and 71,893,734,666

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Solution

The third proportional to 33,763,471,511 and 71,893,734,666 is: 153,085,830,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,763,471,511 : 71,893,734,666 = 71,893,734,666 : x
  2. Step 2: Convert to fraction form
    33,763,471,511/71,893,734,666 = 71,893,734,666/x
  3. Step 3: Cross multiply
    33,763,471,511x = 71,893,734,666 × 71,893,734,666
  4. Step 4: Simplify right side
    33,763,471,511x = 5,168,709,084,225,210,417,152
  5. Step 5: Solve for x
    x = 5,168,709,084,225,210,417,152/33,763,471,511
  6. Step 6: Final answer
    x = 153,085,830,719.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.