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Finding the Third Proportional to 1,201,624,061,954.90 and 2,577,683,490,500.90

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Solution

The third proportional to 1,201,624,061,954.90 and 2,577,683,490,500.90 is: 5,529,559,857,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,624,061,954.90 : 2,577,683,490,500.90 = 2,577,683,490,500.90 : x
  2. Step 2: Convert to fraction form
    1,201,624,061,954.90/2,577,683,490,500.90 = 2,577,683,490,500.90/x
  3. Step 3: Cross multiply
    1,201,624,061,954.90x = 2,577,683,490,500.90 × 2,577,683,490,500.90
  4. Step 4: Simplify right side
    1,201,624,061,954.90x = 6,644,452,177,200,903,364,804,608
  5. Step 5: Solve for x
    x = 6,644,452,177,200,903,364,804,608/1,201,624,061,954.90
  6. Step 6: Final answer
    x = 5,529,559,857,840.37

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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.