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Finding the Third Proportional to 487,240,472 and 1,052,143,888

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Solution

The third proportional to 487,240,472 and 1,052,143,888 is: 2,271,992,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,240,472 : 1,052,143,888 = 1,052,143,888 : x
  2. Step 2: Convert to fraction form
    487,240,472/1,052,143,888 = 1,052,143,888/x
  3. Step 3: Cross multiply
    487,240,472x = 1,052,143,888 × 1,052,143,888
  4. Step 4: Simplify right side
    487,240,472x = 1,107,006,761,055,756,544
  5. Step 5: Solve for x
    x = 1,107,006,761,055,756,544/487,240,472
  6. Step 6: Final answer
    x = 2,271,992,629.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.