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Finding the Third Proportional to 74,920,799,073 and 107,687,485,453.50

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Solution

The third proportional to 74,920,799,073 and 107,687,485,453.50 is: 154,784,714,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,920,799,073 : 107,687,485,453.50 = 107,687,485,453.50 : x
  2. Step 2: Convert to fraction form
    74,920,799,073/107,687,485,453.50 = 107,687,485,453.50/x
  3. Step 3: Cross multiply
    74,920,799,073x = 107,687,485,453.50 × 107,687,485,453.50
  4. Step 4: Simplify right side
    74,920,799,073x = 11,596,594,523,297,774,829,568
  5. Step 5: Solve for x
    x = 11,596,594,523,297,774,829,568/74,920,799,073
  6. Step 6: Final answer
    x = 154,784,714,882.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.