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Finding the Third Proportional to 611,113,592 and 969,264,093

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Solution

The third proportional to 611,113,592 and 969,264,093 is: 1,537,313,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,113,592 : 969,264,093 = 969,264,093 : x
  2. Step 2: Convert to fraction form
    611,113,592/969,264,093 = 969,264,093/x
  3. Step 3: Cross multiply
    611,113,592x = 969,264,093 × 969,264,093
  4. Step 4: Simplify right side
    611,113,592x = 939,472,881,979,112,704
  5. Step 5: Solve for x
    x = 939,472,881,979,112,704/611,113,592
  6. Step 6: Final answer
    x = 1,537,313,020.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.