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Finding the Third Proportional to 5,841,262,262 and 13,775,196,329

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Solution

The third proportional to 5,841,262,262 and 13,775,196,329 is: 32,485,450,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841,262,262 : 13,775,196,329 = 13,775,196,329 : x
  2. Step 2: Convert to fraction form
    5,841,262,262/13,775,196,329 = 13,775,196,329/x
  3. Step 3: Cross multiply
    5,841,262,262x = 13,775,196,329 × 13,775,196,329
  4. Step 4: Simplify right side
    5,841,262,262x = 189,756,033,902,495,072,256
  5. Step 5: Solve for x
    x = 189,756,033,902,495,072,256/5,841,262,262
  6. Step 6: Final answer
    x = 32,485,450,128.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.