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Finding the Third Proportional to 1,937,964,334 and 4,251,122,732

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Solution

The third proportional to 1,937,964,334 and 4,251,122,732 is: 9,325,271,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937,964,334 : 4,251,122,732 = 4,251,122,732 : x
  2. Step 2: Convert to fraction form
    1,937,964,334/4,251,122,732 = 4,251,122,732/x
  3. Step 3: Cross multiply
    1,937,964,334x = 4,251,122,732 × 4,251,122,732
  4. Step 4: Simplify right side
    1,937,964,334x = 18,072,044,482,527,143,936
  5. Step 5: Solve for x
    x = 18,072,044,482,527,143,936/1,937,964,334
  6. Step 6: Final answer
    x = 9,325,271,969.91

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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.