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Finding the Third Proportional to 1,796,708,490,534 and 3,995,135,358,705

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Solution

The third proportional to 1,796,708,490,534 and 3,995,135,358,705 is: 8,883,525,968,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796,708,490,534 : 3,995,135,358,705 = 3,995,135,358,705 : x
  2. Step 2: Convert to fraction form
    1,796,708,490,534/3,995,135,358,705 = 3,995,135,358,705/x
  3. Step 3: Cross multiply
    1,796,708,490,534x = 3,995,135,358,705 × 3,995,135,358,705
  4. Step 4: Simplify right side
    1,796,708,490,534x = 15,961,106,534,374,928,447,176,704
  5. Step 5: Solve for x
    x = 15,961,106,534,374,928,447,176,704/1,796,708,490,534
  6. Step 6: Final answer
    x = 8,883,525,968,996.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.