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Finding the Third Proportional to 820,834,405,506 and 1,765,201,566,411

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Solution

The third proportional to 820,834,405,506 and 1,765,201,566,411 is: 3,796,059,898,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,834,405,506 : 1,765,201,566,411 = 1,765,201,566,411 : x
  2. Step 2: Convert to fraction form
    820,834,405,506/1,765,201,566,411 = 1,765,201,566,411/x
  3. Step 3: Cross multiply
    820,834,405,506x = 1,765,201,566,411 × 1,765,201,566,411
  4. Step 4: Simplify right side
    820,834,405,506x = 3,115,936,570,059,848,012,529,664
  5. Step 5: Solve for x
    x = 3,115,936,570,059,848,012,529,664/820,834,405,506
  6. Step 6: Final answer
    x = 3,796,059,898,511.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.