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Finding the Third Proportional to 22,730,237,317,752 and 46,665,470,733,807

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Solution

The third proportional to 22,730,237,317,752 and 46,665,470,733,807 is: 95,804,814,017,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,730,237,317,752 : 46,665,470,733,807 = 46,665,470,733,807 : x
  2. Step 2: Convert to fraction form
    22,730,237,317,752/46,665,470,733,807 = 46,665,470,733,807/x
  3. Step 3: Cross multiply
    22,730,237,317,752x = 46,665,470,733,807 × 46,665,470,733,807
  4. Step 4: Simplify right side
    22,730,237,317,752x = 2,177,666,158,807,797,532,297,527,296
  5. Step 5: Solve for x
    x = 2,177,666,158,807,797,532,297,527,296/22,730,237,317,752
  6. Step 6: Final answer
    x = 95,804,814,017,804.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.