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Finding the Third Proportional to 677,806,089.75 and 1,047,383,247.38

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Solution

The third proportional to 677,806,089.75 and 1,047,383,247.38 is: 1,618,474,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,806,089.75 : 1,047,383,247.38 = 1,047,383,247.38 : x
  2. Step 2: Convert to fraction form
    677,806,089.75/1,047,383,247.38 = 1,047,383,247.38/x
  3. Step 3: Cross multiply
    677,806,089.75x = 1,047,383,247.38 × 1,047,383,247.38
  4. Step 4: Simplify right side
    677,806,089.75x = 1,097,011,666,881,800,448
  5. Step 5: Solve for x
    x = 1,097,011,666,881,800,448/677,806,089.75
  6. Step 6: Final answer
    x = 1,618,474,197.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.