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Finding the Third Proportional to 3,693,754,822,224 and 7,943,407,043,786

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Solution

The third proportional to 3,693,754,822,224 and 7,943,407,043,786 is: 17,082,269,533,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693,754,822,224 : 7,943,407,043,786 = 7,943,407,043,786 : x
  2. Step 2: Convert to fraction form
    3,693,754,822,224/7,943,407,043,786 = 7,943,407,043,786/x
  3. Step 3: Cross multiply
    3,693,754,822,224x = 7,943,407,043,786 × 7,943,407,043,786
  4. Step 4: Simplify right side
    3,693,754,822,224x = 63,097,715,463,269,043,178,307,584
  5. Step 5: Solve for x
    x = 63,097,715,463,269,043,178,307,584/3,693,754,822,224
  6. Step 6: Final answer
    x = 17,082,269,533,330.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.