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Finding the Third Proportional to 7,459,098,144,994 and 16,231,651,067,534

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Solution

The third proportional to 7,459,098,144,994 and 16,231,651,067,534 is: 35,321,494,804,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459,098,144,994 : 16,231,651,067,534 = 16,231,651,067,534 : x
  2. Step 2: Convert to fraction form
    7,459,098,144,994/16,231,651,067,534 = 16,231,651,067,534/x
  3. Step 3: Cross multiply
    7,459,098,144,994x = 16,231,651,067,534 × 16,231,651,067,534
  4. Step 4: Simplify right side
    7,459,098,144,994x = 263,466,496,378,177,625,803,194,368
  5. Step 5: Solve for x
    x = 263,466,496,378,177,625,803,194,368/7,459,098,144,994
  6. Step 6: Final answer
    x = 35,321,494,804,971.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.