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Finding the Third Proportional to 71,092,347,992 and 152,883,849,896

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Solution

The third proportional to 71,092,347,992 and 152,883,849,896 is: 328,776,193,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,092,347,992 : 152,883,849,896 = 152,883,849,896 : x
  2. Step 2: Convert to fraction form
    71,092,347,992/152,883,849,896 = 152,883,849,896/x
  3. Step 3: Cross multiply
    71,092,347,992x = 152,883,849,896 × 152,883,849,896
  4. Step 4: Simplify right side
    71,092,347,992x = 23,373,471,559,022,658,191,360
  5. Step 5: Solve for x
    x = 23,373,471,559,022,658,191,360/71,092,347,992
  6. Step 6: Final answer
    x = 328,776,193,489.25

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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.