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Finding the Third Proportional to 1,311,863,604 and 2,011,642,146

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Solution

The third proportional to 1,311,863,604 and 2,011,642,146 is: 3,084,698,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,863,604 : 2,011,642,146 = 2,011,642,146 : x
  2. Step 2: Convert to fraction form
    1,311,863,604/2,011,642,146 = 2,011,642,146/x
  3. Step 3: Cross multiply
    1,311,863,604x = 2,011,642,146 × 2,011,642,146
  4. Step 4: Simplify right side
    1,311,863,604x = 4,046,704,123,563,485,184
  5. Step 5: Solve for x
    x = 4,046,704,123,563,485,184/1,311,863,604
  6. Step 6: Final answer
    x = 3,084,698,829.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.