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Finding the Third Proportional to 35,228,696,582,918 and 71,461,895,799,028

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Solution

The third proportional to 35,228,696,582,918 and 71,461,895,799,028 is: 144,961,439,012,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,228,696,582,918 : 71,461,895,799,028 = 71,461,895,799,028 : x
  2. Step 2: Convert to fraction form
    35,228,696,582,918/71,461,895,799,028 = 71,461,895,799,028/x
  3. Step 3: Cross multiply
    35,228,696,582,918x = 71,461,895,799,028 × 71,461,895,799,028
  4. Step 4: Simplify right side
    35,228,696,582,918x = 5,106,802,551,191,135,639,973,134,336
  5. Step 5: Solve for x
    x = 5,106,802,551,191,135,639,973,134,336/35,228,696,582,918
  6. Step 6: Final answer
    x = 144,961,439,012,403.50

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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.