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Finding the Third Proportional to 56,395,419,777 and 85,319,639,037

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Solution

The third proportional to 56,395,419,777 and 85,319,639,037 is: 129,078,581,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,395,419,777 : 85,319,639,037 = 85,319,639,037 : x
  2. Step 2: Convert to fraction form
    56,395,419,777/85,319,639,037 = 85,319,639,037/x
  3. Step 3: Cross multiply
    56,395,419,777x = 85,319,639,037 × 85,319,639,037
  4. Step 4: Simplify right side
    56,395,419,777x = 7,279,440,805,403,974,172,672
  5. Step 5: Solve for x
    x = 7,279,440,805,403,974,172,672/56,395,419,777
  6. Step 6: Final answer
    x = 129,078,581,810.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.