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Finding the Third Proportional to 33,880,291,849.50 and 51,256,184,685.75

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Solution

The third proportional to 33,880,291,849.50 and 51,256,184,685.75 is: 77,543,501,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,880,291,849.50 : 51,256,184,685.75 = 51,256,184,685.75 : x
  2. Step 2: Convert to fraction form
    33,880,291,849.50/51,256,184,685.75 = 51,256,184,685.75/x
  3. Step 3: Cross multiply
    33,880,291,849.50x = 51,256,184,685.75 × 51,256,184,685.75
  4. Step 4: Simplify right side
    33,880,291,849.50x = 2,627,196,468,539,712,602,112
  5. Step 5: Solve for x
    x = 2,627,196,468,539,712,602,112/33,880,291,849.50
  6. Step 6: Final answer
    x = 77,543,501,697.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.