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Finding the Third Proportional to 8,432,308,141 and 18,316,208,006

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Solution

The third proportional to 8,432,308,141 and 18,316,208,006 is: 39,785,485,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432,308,141 : 18,316,208,006 = 18,316,208,006 : x
  2. Step 2: Convert to fraction form
    8,432,308,141/18,316,208,006 = 18,316,208,006/x
  3. Step 3: Cross multiply
    8,432,308,141x = 18,316,208,006 × 18,316,208,006
  4. Step 4: Simplify right side
    8,432,308,141x = 335,483,475,719,058,489,344
  5. Step 5: Solve for x
    x = 335,483,475,719,058,489,344/8,432,308,141
  6. Step 6: Final answer
    x = 39,785,485,789.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.