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Finding the Third Proportional to 272,544,501,896 and 593,080,713,232

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Solution

The third proportional to 272,544,501,896 and 593,080,713,232 is: 1,290,595,590,667.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,544,501,896 : 593,080,713,232 = 593,080,713,232 : x
  2. Step 2: Convert to fraction form
    272,544,501,896/593,080,713,232 = 593,080,713,232/x
  3. Step 3: Cross multiply
    272,544,501,896x = 593,080,713,232 × 593,080,713,232
  4. Step 4: Simplify right side
    272,544,501,896x = 351,744,732,407,777,825,128,448
  5. Step 5: Solve for x
    x = 351,744,732,407,777,825,128,448/272,544,501,896
  6. Step 6: Final answer
    x = 1,290,595,590,667.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.