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Finding the Third Proportional to 35,228,696,582,922 and 71,461,895,799,036

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Solution

The third proportional to 35,228,696,582,922 and 71,461,895,799,036 is: 144,961,439,012,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,228,696,582,922 : 71,461,895,799,036 = 71,461,895,799,036 : x
  2. Step 2: Convert to fraction form
    35,228,696,582,922/71,461,895,799,036 = 71,461,895,799,036/x
  3. Step 3: Cross multiply
    35,228,696,582,922x = 71,461,895,799,036 × 71,461,895,799,036
  4. Step 4: Simplify right side
    35,228,696,582,922x = 5,106,802,551,192,279,132,066,021,376
  5. Step 5: Solve for x
    x = 5,106,802,551,192,279,132,066,021,376/35,228,696,582,922
  6. Step 6: Final answer
    x = 144,961,439,012,419.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.