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Finding the Third Proportional to 56,021,744,920 and 120,988,252,042.25

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Solution

The third proportional to 56,021,744,920 and 120,988,252,042.25 is: 261,294,201,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,021,744,920 : 120,988,252,042.25 = 120,988,252,042.25 : x
  2. Step 2: Convert to fraction form
    56,021,744,920/120,988,252,042.25 = 120,988,252,042.25/x
  3. Step 3: Cross multiply
    56,021,744,920x = 120,988,252,042.25 × 120,988,252,042.25
  4. Step 4: Simplify right side
    56,021,744,920x = 14,638,157,132,239,011,315,712
  5. Step 5: Solve for x
    x = 14,638,157,132,239,011,315,712/56,021,744,920
  6. Step 6: Final answer
    x = 261,294,201,977.15

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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.