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Finding the Third Proportional to 6,928,894,323 and 14,225,110,376

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Solution

The third proportional to 6,928,894,323 and 14,225,110,376 is: 29,204,337,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928,894,323 : 14,225,110,376 = 14,225,110,376 : x
  2. Step 2: Convert to fraction form
    6,928,894,323/14,225,110,376 = 14,225,110,376/x
  3. Step 3: Cross multiply
    6,928,894,323x = 14,225,110,376 × 14,225,110,376
  4. Step 4: Simplify right side
    6,928,894,323x = 202,353,765,209,382,846,464
  5. Step 5: Solve for x
    x = 202,353,765,209,382,846,464/6,928,894,323
  6. Step 6: Final answer
    x = 29,204,337,052.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.