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Finding the Third Proportional to 170,814,292,630 and 367,335,548,966

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Solution

The third proportional to 170,814,292,630 and 367,335,548,966 is: 789,953,834,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,814,292,630 : 367,335,548,966 = 367,335,548,966 : x
  2. Step 2: Convert to fraction form
    170,814,292,630/367,335,548,966 = 367,335,548,966/x
  3. Step 3: Cross multiply
    170,814,292,630x = 367,335,548,966 × 367,335,548,966
  4. Step 4: Simplify right side
    170,814,292,630x = 134,935,405,534,152,583,282,688
  5. Step 5: Solve for x
    x = 134,935,405,534,152,583,282,688/170,814,292,630
  6. Step 6: Final answer
    x = 789,953,834,989.88

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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.