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Finding the Third Proportional to 1,909,123,331.63 and 2,945,402,375.63

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Solution

The third proportional to 1,909,123,331.63 and 2,945,402,375.63 is: 4,544,177,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,123,331.63 : 2,945,402,375.63 = 2,945,402,375.63 : x
  2. Step 2: Convert to fraction form
    1,909,123,331.63/2,945,402,375.63 = 2,945,402,375.63/x
  3. Step 3: Cross multiply
    1,909,123,331.63x = 2,945,402,375.63 × 2,945,402,375.63
  4. Step 4: Simplify right side
    1,909,123,331.63x = 8,675,395,154,337,393,664
  5. Step 5: Solve for x
    x = 8,675,395,154,337,393,664/1,909,123,331.63
  6. Step 6: Final answer
    x = 4,544,177,429.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.