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Finding the Third Proportional to 1,388,791,824 and 2,115,746,352

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Solution

The third proportional to 1,388,791,824 and 2,115,746,352 is: 3,223,220,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388,791,824 : 2,115,746,352 = 2,115,746,352 : x
  2. Step 2: Convert to fraction form
    1,388,791,824/2,115,746,352 = 2,115,746,352/x
  3. Step 3: Cross multiply
    1,388,791,824x = 2,115,746,352 × 2,115,746,352
  4. Step 4: Simplify right side
    1,388,791,824x = 4,476,382,626,001,307,648
  5. Step 5: Solve for x
    x = 4,476,382,626,001,307,648/1,388,791,824
  6. Step 6: Final answer
    x = 3,223,220,751.05

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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.