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Finding the Third Proportional to 1,255,138,426 and 2,736,272,457

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Solution

The third proportional to 1,255,138,426 and 2,736,272,457 is: 5,965,228,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,138,426 : 2,736,272,457 = 2,736,272,457 : x
  2. Step 2: Convert to fraction form
    1,255,138,426/2,736,272,457 = 2,736,272,457/x
  3. Step 3: Cross multiply
    1,255,138,426x = 2,736,272,457 × 2,736,272,457
  4. Step 4: Simplify right side
    1,255,138,426x = 7,487,186,958,936,816,640
  5. Step 5: Solve for x
    x = 7,487,186,958,936,816,640/1,255,138,426
  6. Step 6: Final answer
    x = 5,965,228,060.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.