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Finding the Third Proportional to 645,988,135.50 and 1,417,040,967

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Solution

The third proportional to 645,988,135.50 and 1,417,040,967 is: 3,108,424,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,988,135.50 : 1,417,040,967 = 1,417,040,967 : x
  2. Step 2: Convert to fraction form
    645,988,135.50/1,417,040,967 = 1,417,040,967/x
  3. Step 3: Cross multiply
    645,988,135.50x = 1,417,040,967 × 1,417,040,967
  4. Step 4: Simplify right side
    645,988,135.50x = 2,008,005,102,156,295,168
  5. Step 5: Solve for x
    x = 2,008,005,102,156,295,168/645,988,135.50
  6. Step 6: Final answer
    x = 3,108,424,120.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.