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Finding the Third Proportional to 896,590,950.75 and 1,406,359,202.63

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Solution

The third proportional to 896,590,950.75 and 1,406,359,202.63 is: 2,205,962,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,590,950.75 : 1,406,359,202.63 = 1,406,359,202.63 : x
  2. Step 2: Convert to fraction form
    896,590,950.75/1,406,359,202.63 = 1,406,359,202.63/x
  3. Step 3: Cross multiply
    896,590,950.75x = 1,406,359,202.63 × 1,406,359,202.63
  4. Step 4: Simplify right side
    896,590,950.75x = 1,977,846,206,808,025,856
  5. Step 5: Solve for x
    x = 1,977,846,206,808,025,856/896,590,950.75
  6. Step 6: Final answer
    x = 2,205,962,713.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.