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Finding the Third Proportional to 839,081,814 and 1,316,271,770

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Solution

The third proportional to 839,081,814 and 1,316,271,770 is: 2,064,842,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,081,814 : 1,316,271,770 = 1,316,271,770 : x
  2. Step 2: Convert to fraction form
    839,081,814/1,316,271,770 = 1,316,271,770/x
  3. Step 3: Cross multiply
    839,081,814x = 1,316,271,770 × 1,316,271,770
  4. Step 4: Simplify right side
    839,081,814x = 1,732,571,372,498,932,992
  5. Step 5: Solve for x
    x = 1,732,571,372,498,932,992/839,081,814
  6. Step 6: Final answer
    x = 2,064,842,001.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.