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Finding the Third Proportional to 7,457,693,899 and 16,156,677,734

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Solution

The third proportional to 7,457,693,899 and 16,156,677,734 is: 35,002,540,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457,693,899 : 16,156,677,734 = 16,156,677,734 : x
  2. Step 2: Convert to fraction form
    7,457,693,899/16,156,677,734 = 16,156,677,734/x
  3. Step 3: Cross multiply
    7,457,693,899x = 16,156,677,734 × 16,156,677,734
  4. Step 4: Simplify right side
    7,457,693,899x = 261,038,235,400,331,362,304
  5. Step 5: Solve for x
    x = 261,038,235,400,331,362,304/7,457,693,899
  6. Step 6: Final answer
    x = 35,002,540,857.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.