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Finding the Third Proportional to 170,814,292,932 and 367,335,549,564

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Solution

The third proportional to 170,814,292,932 and 367,335,549,564 is: 789,953,836,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,814,292,932 : 367,335,549,564 = 367,335,549,564 : x
  2. Step 2: Convert to fraction form
    170,814,292,932/367,335,549,564 = 367,335,549,564/x
  3. Step 3: Cross multiply
    170,814,292,932x = 367,335,549,564 × 367,335,549,564
  4. Step 4: Simplify right side
    170,814,292,932x = 134,935,405,973,485,895,286,784
  5. Step 5: Solve for x
    x = 134,935,405,973,485,895,286,784/170,814,292,932
  6. Step 6: Final answer
    x = 789,953,836,165.24

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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.