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Finding the Third Proportional to 39,671,449,175 and 86,316,185,752

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Solution

The third proportional to 39,671,449,175 and 86,316,185,752 is: 187,804,682,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,671,449,175 : 86,316,185,752 = 86,316,185,752 : x
  2. Step 2: Convert to fraction form
    39,671,449,175/86,316,185,752 = 86,316,185,752/x
  3. Step 3: Cross multiply
    39,671,449,175x = 86,316,185,752 × 86,316,185,752
  4. Step 4: Simplify right side
    39,671,449,175x = 7,450,483,922,773,767,880,704
  5. Step 5: Solve for x
    x = 7,450,483,922,773,767,880,704/39,671,449,175
  6. Step 6: Final answer
    x = 187,804,682,654.97

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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.