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Finding the Third Proportional to 3,256,901,088 and 7,111,078,228

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Solution

The third proportional to 3,256,901,088 and 7,111,078,228 is: 15,526,241,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,901,088 : 7,111,078,228 = 7,111,078,228 : x
  2. Step 2: Convert to fraction form
    3,256,901,088/7,111,078,228 = 7,111,078,228/x
  3. Step 3: Cross multiply
    3,256,901,088x = 7,111,078,228 × 7,111,078,228
  4. Step 4: Simplify right side
    3,256,901,088x = 50,567,433,564,735,619,072
  5. Step 5: Solve for x
    x = 50,567,433,564,735,619,072/3,256,901,088
  6. Step 6: Final answer
    x = 15,526,241,724.40

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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.