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Finding the Third Proportional to 3,698,139,981.38 and 7,919,904,624.75

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Solution

The third proportional to 3,698,139,981.38 and 7,919,904,624.75 is: 16,961,199,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698,139,981.38 : 7,919,904,624.75 = 7,919,904,624.75 : x
  2. Step 2: Convert to fraction form
    3,698,139,981.38/7,919,904,624.75 = 7,919,904,624.75/x
  3. Step 3: Cross multiply
    3,698,139,981.38x = 7,919,904,624.75 × 7,919,904,624.75
  4. Step 4: Simplify right side
    3,698,139,981.38x = 62,724,889,265,136,435,200
  5. Step 5: Solve for x
    x = 62,724,889,265,136,435,200/3,698,139,981.38
  6. Step 6: Final answer
    x = 16,961,199,300.47

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Why These Related Problems?

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