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Finding the Third Proportional to 34,879,296.94 and 81,468,021.38

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Solution

The third proportional to 34,879,296.94 and 81,468,021.38 is: 190,285,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,879,296.94 : 81,468,021.38 = 81,468,021.38 : x
  2. Step 2: Convert to fraction form
    34,879,296.94/81,468,021.38 = 81,468,021.38/x
  3. Step 3: Cross multiply
    34,879,296.94x = 81,468,021.38 × 81,468,021.38
  4. Step 4: Simplify right side
    34,879,296.94x = 6,637,038,506,757,457
  5. Step 5: Solve for x
    x = 6,637,038,506,757,457/34,879,296.94
  6. Step 6: Final answer
    x = 190,285,902.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.