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Finding the Third Proportional to 18,101,170,145 and 38,968,762,558

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Solution

The third proportional to 18,101,170,145 and 38,968,762,558 is: 83,893,165,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,101,170,145 : 38,968,762,558 = 38,968,762,558 : x
  2. Step 2: Convert to fraction form
    18,101,170,145/38,968,762,558 = 38,968,762,558/x
  3. Step 3: Cross multiply
    18,101,170,145x = 38,968,762,558 × 38,968,762,558
  4. Step 4: Simplify right side
    18,101,170,145x = 1,518,564,455,301,782,700,032
  5. Step 5: Solve for x
    x = 1,518,564,455,301,782,700,032/18,101,170,145
  6. Step 6: Final answer
    x = 83,893,165,090.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.