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Finding the Third Proportional to 1,388,791,840 and 2,115,746,380

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Solution

The third proportional to 1,388,791,840 and 2,115,746,380 is: 3,223,220,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388,791,840 : 2,115,746,380 = 2,115,746,380 : x
  2. Step 2: Convert to fraction form
    1,388,791,840/2,115,746,380 = 2,115,746,380/x
  3. Step 3: Cross multiply
    1,388,791,840x = 2,115,746,380 × 2,115,746,380
  4. Step 4: Simplify right side
    1,388,791,840x = 4,476,382,744,483,104,256
  5. Step 5: Solve for x
    x = 4,476,382,744,483,104,256/1,388,791,840
  6. Step 6: Final answer
    x = 3,223,220,799.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.