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Finding the Third Proportional to 939,323,359.69 and 1,854,936,703.13

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Solution

The third proportional to 939,323,359.69 and 1,854,936,703.13 is: 3,663,051,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,323,359.69 : 1,854,936,703.13 = 1,854,936,703.13 : x
  2. Step 2: Convert to fraction form
    939,323,359.69/1,854,936,703.13 = 1,854,936,703.13/x
  3. Step 3: Cross multiply
    939,323,359.69x = 1,854,936,703.13 × 1,854,936,703.13
  4. Step 4: Simplify right side
    939,323,359.69x = 3,440,790,172,600,244,224
  5. Step 5: Solve for x
    x = 3,440,790,172,600,244,224/939,323,359.69
  6. Step 6: Final answer
    x = 3,663,051,852.29

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.