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Finding the Third Proportional to 20,765,833,870,225 and 30,526,696,989,018

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Solution

The third proportional to 20,765,833,870,225 and 30,526,696,989,018 is: 44,875,598,778,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765,833,870,225 : 30,526,696,989,018 = 30,526,696,989,018 : x
  2. Step 2: Convert to fraction form
    20,765,833,870,225/30,526,696,989,018 = 30,526,696,989,018/x
  3. Step 3: Cross multiply
    20,765,833,870,225x = 30,526,696,989,018 × 30,526,696,989,018
  4. Step 4: Simplify right side
    20,765,833,870,225x = 931,879,229,059,320,659,564,298,240
  5. Step 5: Solve for x
    x = 931,879,229,059,320,659,564,298,240/20,765,833,870,225
  6. Step 6: Final answer
    x = 44,875,598,778,409.36

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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.