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Finding the Third Proportional to 667,124,073,041.58 and 939,457,701,954.87

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Solution

The third proportional to 667,124,073,041.58 and 939,457,701,954.87 is: 1,322,963,462,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,124,073,041.58 : 939,457,701,954.87 = 939,457,701,954.87 : x
  2. Step 2: Convert to fraction form
    667,124,073,041.58/939,457,701,954.87 = 939,457,701,954.87/x
  3. Step 3: Cross multiply
    667,124,073,041.58x = 939,457,701,954.87 × 939,457,701,954.87
  4. Step 4: Simplify right side
    667,124,073,041.58x = 882,580,773,762,325,335,244,800
  5. Step 5: Solve for x
    x = 882,580,773,762,325,335,244,800/667,124,073,041.58
  6. Step 6: Final answer
    x = 1,322,963,462,761.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.