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Finding the Third Proportional to 22,730,237,322,702 and 46,665,470,742,673

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Solution

The third proportional to 22,730,237,322,702 and 46,665,470,742,673 is: 95,804,814,033,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,730,237,322,702 : 46,665,470,742,673 = 46,665,470,742,673 : x
  2. Step 2: Convert to fraction form
    22,730,237,322,702/46,665,470,742,673 = 46,665,470,742,673/x
  3. Step 3: Cross multiply
    22,730,237,322,702x = 46,665,470,742,673 × 46,665,470,742,673
  4. Step 4: Simplify right side
    22,730,237,322,702x = 2,177,666,159,635,269,642,396,631,040
  5. Step 5: Solve for x
    x = 2,177,666,159,635,269,642,396,631,040/22,730,237,322,702
  6. Step 6: Final answer
    x = 95,804,814,033,345.30

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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.