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Finding the Third Proportional to 39,671,449,164 and 86,316,185,736

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Solution

The third proportional to 39,671,449,164 and 86,316,185,736 is: 187,804,682,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,671,449,164 : 86,316,185,736 = 86,316,185,736 : x
  2. Step 2: Convert to fraction form
    39,671,449,164/86,316,185,736 = 86,316,185,736/x
  3. Step 3: Cross multiply
    39,671,449,164x = 86,316,185,736 × 86,316,185,736
  4. Step 4: Simplify right side
    39,671,449,164x = 7,450,483,920,011,649,875,968
  5. Step 5: Solve for x
    x = 7,450,483,920,011,649,875,968/39,671,449,164
  6. Step 6: Final answer
    x = 187,804,682,637.42

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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.