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Finding the Third Proportional to 123,652,490,854.50 and 267,837,623,037

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Solution

The third proportional to 123,652,490,854.50 and 267,837,623,037 is: 580,149,997,936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,652,490,854.50 : 267,837,623,037 = 267,837,623,037 : x
  2. Step 2: Convert to fraction form
    123,652,490,854.50/267,837,623,037 = 267,837,623,037/x
  3. Step 3: Cross multiply
    123,652,490,854.50x = 267,837,623,037 × 267,837,623,037
  4. Step 4: Simplify right side
    123,652,490,854.50x = 71,736,992,314,110,116,888,576
  5. Step 5: Solve for x
    x = 71,736,992,314,110,116,888,576/123,652,490,854.50
  6. Step 6: Final answer
    x = 580,149,997,936.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.