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Finding the Third Proportional to 18,101,170,116 and 38,968,762,500

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Solution

The third proportional to 18,101,170,116 and 38,968,762,500 is: 83,893,164,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,101,170,116 : 38,968,762,500 = 38,968,762,500 : x
  2. Step 2: Convert to fraction form
    18,101,170,116/38,968,762,500 = 38,968,762,500/x
  3. Step 3: Cross multiply
    18,101,170,116x = 38,968,762,500 × 38,968,762,500
  4. Step 4: Simplify right side
    18,101,170,116x = 1,518,564,450,781,406,167,040
  5. Step 5: Solve for x
    x = 1,518,564,450,781,406,167,040/18,101,170,116
  6. Step 6: Final answer
    x = 83,893,164,974.96

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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.