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Finding the Third Proportional to 764,987,013,504 and 1,143,264,263,904

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Solution

The third proportional to 764,987,013,504 and 1,143,264,263,904 is: 1,708,595,249,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,987,013,504 : 1,143,264,263,904 = 1,143,264,263,904 : x
  2. Step 2: Convert to fraction form
    764,987,013,504/1,143,264,263,904 = 1,143,264,263,904/x
  3. Step 3: Cross multiply
    764,987,013,504x = 1,143,264,263,904 × 1,143,264,263,904
  4. Step 4: Simplify right side
    764,987,013,504x = 1,307,053,177,119,954,949,898,240
  5. Step 5: Solve for x
    x = 1,307,053,177,119,954,949,898,240/764,987,013,504
  6. Step 6: Final answer
    x = 1,708,595,249,392.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.