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Finding the Third Proportional to 56,021,744,920.50 and 120,988,252,043.50

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Solution

The third proportional to 56,021,744,920.50 and 120,988,252,043.50 is: 261,294,201,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,021,744,920.50 : 120,988,252,043.50 = 120,988,252,043.50 : x
  2. Step 2: Convert to fraction form
    56,021,744,920.50/120,988,252,043.50 = 120,988,252,043.50/x
  3. Step 3: Cross multiply
    56,021,744,920.50x = 120,988,252,043.50 × 120,988,252,043.50
  4. Step 4: Simplify right side
    56,021,744,920.50x = 14,638,157,132,541,481,451,520
  5. Step 5: Solve for x
    x = 14,638,157,132,541,481,451,520/56,021,744,920.50
  6. Step 6: Final answer
    x = 261,294,201,980.22

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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.