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Finding the Third Proportional to 124,667,188,840 and 266,986,725,248

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Solution

The third proportional to 124,667,188,840 and 266,986,725,248 is: 571,777,643,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,667,188,840 : 266,986,725,248 = 266,986,725,248 : x
  2. Step 2: Convert to fraction form
    124,667,188,840/266,986,725,248 = 266,986,725,248/x
  3. Step 3: Cross multiply
    124,667,188,840x = 266,986,725,248 × 266,986,725,248
  4. Step 4: Simplify right side
    124,667,188,840x = 71,281,911,458,651,042,742,272
  5. Step 5: Solve for x
    x = 71,281,911,458,651,042,742,272/124,667,188,840
  6. Step 6: Final answer
    x = 571,777,643,515.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.