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Finding the Third Proportional to 31,116,609,983 and 66,952,628,460

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Solution

The third proportional to 31,116,609,983 and 66,952,628,460 is: 144,059,859,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,116,609,983 : 66,952,628,460 = 66,952,628,460 : x
  2. Step 2: Convert to fraction form
    31,116,609,983/66,952,628,460 = 66,952,628,460/x
  3. Step 3: Cross multiply
    31,116,609,983x = 66,952,628,460 × 66,952,628,460
  4. Step 4: Simplify right side
    31,116,609,983x = 4,482,654,457,702,801,997,824
  5. Step 5: Solve for x
    x = 4,482,654,457,702,801,997,824/31,116,609,983
  6. Step 6: Final answer
    x = 144,059,859,353.31

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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.