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Finding the Third Proportional to 20,765,833,870,221 and 30,526,696,989,012

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Solution

The third proportional to 20,765,833,870,221 and 30,526,696,989,012 is: 44,875,598,778,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765,833,870,221 : 30,526,696,989,012 = 30,526,696,989,012 : x
  2. Step 2: Convert to fraction form
    20,765,833,870,221/30,526,696,989,012 = 30,526,696,989,012/x
  3. Step 3: Cross multiply
    20,765,833,870,221x = 30,526,696,989,012 × 30,526,696,989,012
  4. Step 4: Simplify right side
    20,765,833,870,221x = 931,879,229,058,954,247,314,341,888
  5. Step 5: Solve for x
    x = 931,879,229,058,954,247,314,341,888/20,765,833,870,221
  6. Step 6: Final answer
    x = 44,875,598,778,400.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.