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Finding the Third Proportional to 14,537,823,384 and 31,622,823,840

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Solution

The third proportional to 14,537,823,384 and 31,622,823,840 is: 68,786,293,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537,823,384 : 31,622,823,840 = 31,622,823,840 : x
  2. Step 2: Convert to fraction form
    14,537,823,384/31,622,823,840 = 31,622,823,840/x
  3. Step 3: Cross multiply
    14,537,823,384x = 31,622,823,840 × 31,622,823,840
  4. Step 4: Simplify right side
    14,537,823,384x = 1,000,002,987,615,672,336,384
  5. Step 5: Solve for x
    x = 1,000,002,987,615,672,336,384/14,537,823,384
  6. Step 6: Final answer
    x = 68,786,293,601.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.