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Finding the Third Proportional to 40,355,142,404.63 and 86,699,117,768.63

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Solution

The third proportional to 40,355,142,404.63 and 86,699,117,768.63 is: 186,264,663,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,355,142,404.63 : 86,699,117,768.63 = 86,699,117,768.63 : x
  2. Step 2: Convert to fraction form
    40,355,142,404.63/86,699,117,768.63 = 86,699,117,768.63/x
  3. Step 3: Cross multiply
    40,355,142,404.63x = 86,699,117,768.63 × 86,699,117,768.63
  4. Step 4: Simplify right side
    40,355,142,404.63x = 7,516,737,021,857,907,081,216
  5. Step 5: Solve for x
    x = 7,516,737,021,857,907,081,216/40,355,142,404.63
  6. Step 6: Final answer
    x = 186,264,663,533.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.