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Finding the Third Proportional to 56,838,162,299.50 and 122,296,881,462

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Solution

The third proportional to 56,838,162,299.50 and 122,296,881,462 is: 263,142,343,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,838,162,299.50 : 122,296,881,462 = 122,296,881,462 : x
  2. Step 2: Convert to fraction form
    56,838,162,299.50/122,296,881,462 = 122,296,881,462/x
  3. Step 3: Cross multiply
    56,838,162,299.50x = 122,296,881,462 × 122,296,881,462
  4. Step 4: Simplify right side
    56,838,162,299.50x = 14,956,527,215,330,478,522,368
  5. Step 5: Solve for x
    x = 14,956,527,215,330,478,522,368/56,838,162,299.50
  6. Step 6: Final answer
    x = 263,142,343,281.96

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Why These Related Problems?

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