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Finding the Third Proportional to 556,920,936 and 1,180,230,174

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Solution

The third proportional to 556,920,936 and 1,180,230,174 is: 2,501,150,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,920,936 : 1,180,230,174 = 1,180,230,174 : x
  2. Step 2: Convert to fraction form
    556,920,936/1,180,230,174 = 1,180,230,174/x
  3. Step 3: Cross multiply
    556,920,936x = 1,180,230,174 × 1,180,230,174
  4. Step 4: Simplify right side
    556,920,936x = 1,392,943,263,620,070,400
  5. Step 5: Solve for x
    x = 1,392,943,263,620,070,400/556,920,936
  6. Step 6: Final answer
    x = 2,501,150,834.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.