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Finding the Third Proportional to 538,462,144.13 and 1,152,565,422.75

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Solution

The third proportional to 538,462,144.13 and 1,152,565,422.75 is: 2,467,038,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,462,144.13 : 1,152,565,422.75 = 1,152,565,422.75 : x
  2. Step 2: Convert to fraction form
    538,462,144.13/1,152,565,422.75 = 1,152,565,422.75/x
  3. Step 3: Cross multiply
    538,462,144.13x = 1,152,565,422.75 × 1,152,565,422.75
  4. Step 4: Simplify right side
    538,462,144.13x = 1,328,407,053,718,886,144
  5. Step 5: Solve for x
    x = 1,328,407,053,718,886,144/538,462,144.13
  6. Step 6: Final answer
    x = 2,467,038,896.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.