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Finding the Third Proportional to 689,590,552 and 1,532,236,094

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Solution

The third proportional to 689,590,552 and 1,532,236,094 is: 3,404,552,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,590,552 : 1,532,236,094 = 1,532,236,094 : x
  2. Step 2: Convert to fraction form
    689,590,552/1,532,236,094 = 1,532,236,094/x
  3. Step 3: Cross multiply
    689,590,552x = 1,532,236,094 × 1,532,236,094
  4. Step 4: Simplify right side
    689,590,552x = 2,347,747,447,756,377,088
  5. Step 5: Solve for x
    x = 2,347,747,447,756,377,088/689,590,552
  6. Step 6: Final answer
    x = 3,404,552,804.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.