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Finding the Third Proportional to 1,279,444,446 and 1,965,724,984

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Solution

The third proportional to 1,279,444,446 and 1,965,724,984 is: 3,020,119,181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,444,446 : 1,965,724,984 = 1,965,724,984 : x
  2. Step 2: Convert to fraction form
    1,279,444,446/1,965,724,984 = 1,965,724,984/x
  3. Step 3: Cross multiply
    1,279,444,446x = 1,965,724,984 × 1,965,724,984
  4. Step 4: Simplify right side
    1,279,444,446x = 3,864,074,712,721,800,192
  5. Step 5: Solve for x
    x = 3,864,074,712,721,800,192/1,279,444,446
  6. Step 6: Final answer
    x = 3,020,119,181.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.