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Finding the Third Proportional to 1,194,304,456,029 and 2,632,046,191,746

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Solution

The third proportional to 1,194,304,456,029 and 2,632,046,191,746 is: 5,800,587,212,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,304,456,029 : 2,632,046,191,746 = 2,632,046,191,746 : x
  2. Step 2: Convert to fraction form
    1,194,304,456,029/2,632,046,191,746 = 2,632,046,191,746/x
  3. Step 3: Cross multiply
    1,194,304,456,029x = 2,632,046,191,746 × 2,632,046,191,746
  4. Step 4: Simplify right side
    1,194,304,456,029x = 6,927,667,155,484,621,274,087,424
  5. Step 5: Solve for x
    x = 6,927,667,155,484,621,274,087,424/1,194,304,456,029
  6. Step 6: Final answer
    x = 5,800,587,212,509.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.