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Finding the Third Proportional to 64,128,071 and 138,333,838

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Solution

The third proportional to 64,128,071 and 138,333,838 is: 298,406,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,128,071 : 138,333,838 = 138,333,838 : x
  2. Step 2: Convert to fraction form
    64,128,071/138,333,838 = 138,333,838/x
  3. Step 3: Cross multiply
    64,128,071x = 138,333,838 × 138,333,838
  4. Step 4: Simplify right side
    64,128,071x = 19,136,250,735,810,244
  5. Step 5: Solve for x
    x = 19,136,250,735,810,244/64,128,071
  6. Step 6: Final answer
    x = 298,406,773.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.