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Finding the Third Proportional to 1,331,477,854 and 2,894,706,545

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Solution

The third proportional to 1,331,477,854 and 2,894,706,545 is: 6,293,252,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331,477,854 : 2,894,706,545 = 2,894,706,545 : x
  2. Step 2: Convert to fraction form
    1,331,477,854/2,894,706,545 = 2,894,706,545/x
  3. Step 3: Cross multiply
    1,331,477,854x = 2,894,706,545 × 2,894,706,545
  4. Step 4: Simplify right side
    1,331,477,854x = 8,379,325,981,665,837,056
  5. Step 5: Solve for x
    x = 8,379,325,981,665,837,056/1,331,477,854
  6. Step 6: Final answer
    x = 6,293,252,235.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.