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Finding the Third Proportional to 1,937,964,303 and 4,251,122,673

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Solution

The third proportional to 1,937,964,303 and 4,251,122,673 is: 9,325,271,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937,964,303 : 4,251,122,673 = 4,251,122,673 : x
  2. Step 2: Convert to fraction form
    1,937,964,303/4,251,122,673 = 4,251,122,673/x
  3. Step 3: Cross multiply
    1,937,964,303x = 4,251,122,673 × 4,251,122,673
  4. Step 4: Simplify right side
    1,937,964,303x = 18,072,043,980,894,664,704
  5. Step 5: Solve for x
    x = 18,072,043,980,894,664,704/1,937,964,303
  6. Step 6: Final answer
    x = 9,325,271,860.23

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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.