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Finding the Third Proportional to 14,049,219,604 and 30,337,641,168

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Solution

The third proportional to 14,049,219,604 and 30,337,641,168 is: 65,510,576,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049,219,604 : 30,337,641,168 = 30,337,641,168 : x
  2. Step 2: Convert to fraction form
    14,049,219,604/30,337,641,168 = 30,337,641,168/x
  3. Step 3: Cross multiply
    14,049,219,604x = 30,337,641,168 × 30,337,641,168
  4. Step 4: Simplify right side
    14,049,219,604x = 920,372,471,638,328,344,576
  5. Step 5: Solve for x
    x = 920,372,471,638,328,344,576/14,049,219,604
  6. Step 6: Final answer
    x = 65,510,576,215.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.