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Finding the Third Proportional to 51,658,236,032.25 and 80,207,148,722.25

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Solution

The third proportional to 51,658,236,032.25 and 80,207,148,722.25 is: 124,533,611,680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,658,236,032.25 : 80,207,148,722.25 = 80,207,148,722.25 : x
  2. Step 2: Convert to fraction form
    51,658,236,032.25/80,207,148,722.25 = 80,207,148,722.25/x
  3. Step 3: Cross multiply
    51,658,236,032.25x = 80,207,148,722.25 × 80,207,148,722.25
  4. Step 4: Simplify right side
    51,658,236,032.25x = 6,433,186,706,153,129,639,936
  5. Step 5: Solve for x
    x = 6,433,186,706,153,129,639,936/51,658,236,032.25
  6. Step 6: Final answer
    x = 124,533,611,680.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.