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Finding the Third Proportional to 7,782,342,798,709 and 16,208,825,533,224

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Solution

The third proportional to 7,782,342,798,709 and 16,208,825,533,224 is: 33,759,246,021,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782,342,798,709 : 16,208,825,533,224 = 16,208,825,533,224 : x
  2. Step 2: Convert to fraction form
    7,782,342,798,709/16,208,825,533,224 = 16,208,825,533,224/x
  3. Step 3: Cross multiply
    7,782,342,798,709x = 16,208,825,533,224 × 16,208,825,533,224
  4. Step 4: Simplify right side
    7,782,342,798,709x = 262,726,025,166,494,289,243,406,336
  5. Step 5: Solve for x
    x = 262,726,025,166,494,289,243,406,336/7,782,342,798,709
  6. Step 6: Final answer
    x = 33,759,246,021,657.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.