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Finding the Third Proportional to 3,585,698,814.94 and 7,675,103,086.59

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Solution

The third proportional to 3,585,698,814.94 and 7,675,103,086.59 is: 16,428,375,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585,698,814.94 : 7,675,103,086.59 = 7,675,103,086.59 : x
  2. Step 2: Convert to fraction form
    3,585,698,814.94/7,675,103,086.59 = 7,675,103,086.59/x
  3. Step 3: Cross multiply
    3,585,698,814.94x = 7,675,103,086.59 × 7,675,103,086.59
  4. Step 4: Simplify right side
    3,585,698,814.94x = 58,907,207,389,841,670,144
  5. Step 5: Solve for x
    x = 58,907,207,389,841,670,144/3,585,698,814.94
  6. Step 6: Final answer
    x = 16,428,375,730.96

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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.