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Finding the Third Proportional to 83,886,560,536 and 184,013,991,200

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Solution

The third proportional to 83,886,560,536 and 184,013,991,200 is: 403,654,038,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886,560,536 : 184,013,991,200 = 184,013,991,200 : x
  2. Step 2: Convert to fraction form
    83,886,560,536/184,013,991,200 = 184,013,991,200/x
  3. Step 3: Cross multiply
    83,886,560,536x = 184,013,991,200 × 184,013,991,200
  4. Step 4: Simplify right side
    83,886,560,536x = 33,861,148,957,353,676,111,872
  5. Step 5: Solve for x
    x = 33,861,148,957,353,676,111,872/83,886,560,536
  6. Step 6: Final answer
    x = 403,654,038,751.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.