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Finding the Third Proportional to 292,507,671,240 and 593,239,992,471

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Solution

The third proportional to 292,507,671,240 and 593,239,992,471 is: 1,203,160,543,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,507,671,240 : 593,239,992,471 = 593,239,992,471 : x
  2. Step 2: Convert to fraction form
    292,507,671,240/593,239,992,471 = 593,239,992,471/x
  3. Step 3: Cross multiply
    292,507,671,240x = 593,239,992,471 × 593,239,992,471
  4. Step 4: Simplify right side
    292,507,671,240x = 351,933,688,666,992,142,188,544
  5. Step 5: Solve for x
    x = 351,933,688,666,992,142,188,544/292,507,671,240
  6. Step 6: Final answer
    x = 1,203,160,543,363.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.