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Finding the Third Proportional to 1,434,783,570,801 and 3,162,021,728,634

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Solution

The third proportional to 1,434,783,570,801 and 3,162,021,728,634 is: 6,968,564,190,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434,783,570,801 : 3,162,021,728,634 = 3,162,021,728,634 : x
  2. Step 2: Convert to fraction form
    1,434,783,570,801/3,162,021,728,634 = 3,162,021,728,634/x
  3. Step 3: Cross multiply
    1,434,783,570,801x = 3,162,021,728,634 × 3,162,021,728,634
  4. Step 4: Simplify right side
    1,434,783,570,801x = 9,998,381,412,353,549,426,229,248
  5. Step 5: Solve for x
    x = 9,998,381,412,353,549,426,229,248/1,434,783,570,801
  6. Step 6: Final answer
    x = 6,968,564,190,327.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.