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Finding the Third Proportional to 3,471,549,796.97 and 7,606,330,170.75

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Solution

The third proportional to 3,471,549,796.97 and 7,606,330,170.75 is: 16,665,829,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471,549,796.97 : 7,606,330,170.75 = 7,606,330,170.75 : x
  2. Step 2: Convert to fraction form
    3,471,549,796.97/7,606,330,170.75 = 7,606,330,170.75/x
  3. Step 3: Cross multiply
    3,471,549,796.97x = 7,606,330,170.75 × 7,606,330,170.75
  4. Step 4: Simplify right side
    3,471,549,796.97x = 57,856,258,666,461,724,672
  5. Step 5: Solve for x
    x = 57,856,258,666,461,724,672/3,471,549,796.97
  6. Step 6: Final answer
    x = 16,665,829,975.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.