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Finding the Third Proportional to 45,825,806,592 and 68,456,485,152

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Solution

The third proportional to 45,825,806,592 and 68,456,485,152 is: 102,263,128,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,825,806,592 : 68,456,485,152 = 68,456,485,152 : x
  2. Step 2: Convert to fraction form
    45,825,806,592/68,456,485,152 = 68,456,485,152/x
  3. Step 3: Cross multiply
    45,825,806,592x = 68,456,485,152 × 68,456,485,152
  4. Step 4: Simplify right side
    45,825,806,592x = 4,686,290,359,365,996,642,304
  5. Step 5: Solve for x
    x = 4,686,290,359,365,996,642,304/45,825,806,592
  6. Step 6: Final answer
    x = 102,263,128,745.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.