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Finding the Third Proportional to 40,588,239,024 and 62,095,461,048

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Solution

The third proportional to 40,588,239,024 and 62,095,461,048 is: 94,999,102,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,588,239,024 : 62,095,461,048 = 62,095,461,048 : x
  2. Step 2: Convert to fraction form
    40,588,239,024/62,095,461,048 = 62,095,461,048/x
  3. Step 3: Cross multiply
    40,588,239,024x = 62,095,461,048 × 62,095,461,048
  4. Step 4: Simplify right side
    40,588,239,024x = 3,855,846,282,763,685,068,800
  5. Step 5: Solve for x
    x = 3,855,846,282,763,685,068,800/40,588,239,024
  6. Step 6: Final answer
    x = 94,999,102,584.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.