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Finding the Third Proportional to 2,131,769,741 and 4,753,702,428

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Solution

The third proportional to 2,131,769,741 and 4,753,702,428 is: 10,600,435,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,769,741 : 4,753,702,428 = 4,753,702,428 : x
  2. Step 2: Convert to fraction form
    2,131,769,741/4,753,702,428 = 4,753,702,428/x
  3. Step 3: Cross multiply
    2,131,769,741x = 4,753,702,428 × 4,753,702,428
  4. Step 4: Simplify right side
    2,131,769,741x = 22,597,686,773,973,094,400
  5. Step 5: Solve for x
    x = 22,597,686,773,973,094,400/2,131,769,741
  6. Step 6: Final answer
    x = 10,600,435,093.60

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.