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Finding the Third Proportional to 53,295,919,868 and 118,508,046,472

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Solution

The third proportional to 53,295,919,868 and 118,508,046,472 is: 263,512,800,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,295,919,868 : 118,508,046,472 = 118,508,046,472 : x
  2. Step 2: Convert to fraction form
    53,295,919,868/118,508,046,472 = 118,508,046,472/x
  3. Step 3: Cross multiply
    53,295,919,868x = 118,508,046,472 × 118,508,046,472
  4. Step 4: Simplify right side
    53,295,919,868x = 14,044,157,078,609,711,857,664
  5. Step 5: Solve for x
    x = 14,044,157,078,609,711,857,664/53,295,919,868
  6. Step 6: Final answer
    x = 263,512,800,105.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.