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Finding the Third Proportional to 31,610,744,083 and 68,259,692,576

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Solution

The third proportional to 31,610,744,083 and 68,259,692,576 is: 147,398,796,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610,744,083 : 68,259,692,576 = 68,259,692,576 : x
  2. Step 2: Convert to fraction form
    31,610,744,083/68,259,692,576 = 68,259,692,576/x
  3. Step 3: Cross multiply
    31,610,744,083x = 68,259,692,576 × 68,259,692,576
  4. Step 4: Simplify right side
    31,610,744,083x = 4,659,385,630,570,029,514,752
  5. Step 5: Solve for x
    x = 4,659,385,630,570,029,514,752/31,610,744,083
  6. Step 6: Final answer
    x = 147,398,796,381.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.