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Finding the Third Proportional to 3,270,772,781 and 7,133,521,015

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Solution

The third proportional to 3,270,772,781 and 7,133,521,015 is: 15,558,134,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,772,781 : 7,133,521,015 = 7,133,521,015 : x
  2. Step 2: Convert to fraction form
    3,270,772,781/7,133,521,015 = 7,133,521,015/x
  3. Step 3: Cross multiply
    3,270,772,781x = 7,133,521,015 × 7,133,521,015
  4. Step 4: Simplify right side
    3,270,772,781x = 50,887,122,071,446,626,304
  5. Step 5: Solve for x
    x = 50,887,122,071,446,626,304/3,270,772,781
  6. Step 6: Final answer
    x = 15,558,134,263.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.