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Finding the Third Proportional to 10,419,485,352 and 14,058,332,059

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Solution

The third proportional to 10,419,485,352 and 14,058,332,059 is: 18,967,990,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419,485,352 : 14,058,332,059 = 14,058,332,059 : x
  2. Step 2: Convert to fraction form
    10,419,485,352/14,058,332,059 = 14,058,332,059/x
  3. Step 3: Cross multiply
    10,419,485,352x = 14,058,332,059 × 14,058,332,059
  4. Step 4: Simplify right side
    10,419,485,352x = 197,636,700,281,107,185,664
  5. Step 5: Solve for x
    x = 197,636,700,281,107,185,664/10,419,485,352
  6. Step 6: Final answer
    x = 18,967,990,606.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.