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Finding the Third Proportional to 20,765,833,870,223 and 30,526,696,989,015

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Solution

The third proportional to 20,765,833,870,223 and 30,526,696,989,015 is: 44,875,598,778,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765,833,870,223 : 30,526,696,989,015 = 30,526,696,989,015 : x
  2. Step 2: Convert to fraction form
    20,765,833,870,223/30,526,696,989,015 = 30,526,696,989,015/x
  3. Step 3: Cross multiply
    20,765,833,870,223x = 30,526,696,989,015 × 30,526,696,989,015
  4. Step 4: Simplify right side
    20,765,833,870,223x = 931,879,229,059,137,453,439,320,064
  5. Step 5: Solve for x
    x = 931,879,229,059,137,453,439,320,064/20,765,833,870,223
  6. Step 6: Final answer
    x = 44,875,598,778,404.86

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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.