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Finding the Third Proportional to 2,545,878,144 and 3,803,138,064

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Solution

The third proportional to 2,545,878,144 and 3,803,138,064 is: 5,681,284,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545,878,144 : 3,803,138,064 = 3,803,138,064 : x
  2. Step 2: Convert to fraction form
    2,545,878,144/3,803,138,064 = 3,803,138,064/x
  3. Step 3: Cross multiply
    2,545,878,144x = 3,803,138,064 × 3,803,138,064
  4. Step 4: Simplify right side
    2,545,878,144x = 14,463,859,133,845,667,840
  5. Step 5: Solve for x
    x = 14,463,859,133,845,667,840/2,545,878,144
  6. Step 6: Final answer
    x = 5,681,284,930.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.