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Finding the Third Proportional to 1,530,776,689,136 and 3,279,897,768,512

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Solution

The third proportional to 1,530,776,689,136 and 3,279,897,768,512 is: 7,027,628,163,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,776,689,136 : 3,279,897,768,512 = 3,279,897,768,512 : x
  2. Step 2: Convert to fraction form
    1,530,776,689,136/3,279,897,768,512 = 3,279,897,768,512/x
  3. Step 3: Cross multiply
    1,530,776,689,136x = 3,279,897,768,512 × 3,279,897,768,512
  4. Step 4: Simplify right side
    1,530,776,689,136x = 10,757,729,371,889,996,402,786,304
  5. Step 5: Solve for x
    x = 10,757,729,371,889,996,402,786,304/1,530,776,689,136
  6. Step 6: Final answer
    x = 7,027,628,163,035.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.