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Finding the Third Proportional to 4,905,626,524 and 7,356,638,052

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Solution

The third proportional to 4,905,626,524 and 7,356,638,052 is: 11,032,255,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905,626,524 : 7,356,638,052 = 7,356,638,052 : x
  2. Step 2: Convert to fraction form
    4,905,626,524/7,356,638,052 = 7,356,638,052/x
  3. Step 3: Cross multiply
    4,905,626,524x = 7,356,638,052 × 7,356,638,052
  4. Step 4: Simplify right side
    4,905,626,524x = 54,120,123,428,134,354,944
  5. Step 5: Solve for x
    x = 54,120,123,428,134,354,944/4,905,626,524
  6. Step 6: Final answer
    x = 11,032,255,138.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.