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Finding the Third Proportional to 39,671,449,144 and 86,316,185,700

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Solution

The third proportional to 39,671,449,144 and 86,316,185,700 is: 187,804,682,575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,671,449,144 : 86,316,185,700 = 86,316,185,700 : x
  2. Step 2: Convert to fraction form
    39,671,449,144/86,316,185,700 = 86,316,185,700/x
  3. Step 3: Cross multiply
    39,671,449,144x = 86,316,185,700 × 86,316,185,700
  4. Step 4: Simplify right side
    39,671,449,144x = 7,450,483,913,796,884,627,456
  5. Step 5: Solve for x
    x = 7,450,483,913,796,884,627,456/39,671,449,144
  6. Step 6: Final answer
    x = 187,804,682,575.45

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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.