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Finding the Third Proportional to 750,069,291 and 1,615,342,635

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Solution

The third proportional to 750,069,291 and 1,615,342,635 is: 3,478,787,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,069,291 : 1,615,342,635 = 1,615,342,635 : x
  2. Step 2: Convert to fraction form
    750,069,291/1,615,342,635 = 1,615,342,635/x
  3. Step 3: Cross multiply
    750,069,291x = 1,615,342,635 × 1,615,342,635
  4. Step 4: Simplify right side
    750,069,291x = 2,609,331,828,448,743,424
  5. Step 5: Solve for x
    x = 2,609,331,828,448,743,424/750,069,291
  6. Step 6: Final answer
    x = 3,478,787,706.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.