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Finding the Third Proportional to 7,457,693,901 and 16,156,677,738

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Solution

The third proportional to 7,457,693,901 and 16,156,677,738 is: 35,002,540,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457,693,901 : 16,156,677,738 = 16,156,677,738 : x
  2. Step 2: Convert to fraction form
    7,457,693,901/16,156,677,738 = 16,156,677,738/x
  3. Step 3: Cross multiply
    7,457,693,901x = 16,156,677,738 × 16,156,677,738
  4. Step 4: Simplify right side
    7,457,693,901x = 261,038,235,529,584,803,840
  5. Step 5: Solve for x
    x = 261,038,235,529,584,803,840/7,457,693,901
  6. Step 6: Final answer
    x = 35,002,540,865.16

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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.