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Finding the Third Proportional to 61,184,909,025 and 131,667,908,490

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Solution

The third proportional to 61,184,909,025 and 131,667,908,490 is: 283,345,001,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,184,909,025 : 131,667,908,490 = 131,667,908,490 : x
  2. Step 2: Convert to fraction form
    61,184,909,025/131,667,908,490 = 131,667,908,490/x
  3. Step 3: Cross multiply
    61,184,909,025x = 131,667,908,490 × 131,667,908,490
  4. Step 4: Simplify right side
    61,184,909,025x = 17,336,438,126,131,013,484,544
  5. Step 5: Solve for x
    x = 17,336,438,126,131,013,484,544/61,184,909,025
  6. Step 6: Final answer
    x = 283,345,001,282.06

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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.