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Finding the Third Proportional to 292,507,671,242 and 593,239,992,475

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Solution

The third proportional to 292,507,671,242 and 593,239,992,475 is: 1,203,160,543,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,507,671,242 : 593,239,992,475 = 593,239,992,475 : x
  2. Step 2: Convert to fraction form
    292,507,671,242/593,239,992,475 = 593,239,992,475/x
  3. Step 3: Cross multiply
    292,507,671,242x = 593,239,992,475 × 593,239,992,475
  4. Step 4: Simplify right side
    292,507,671,242x = 351,933,688,671,738,081,050,624
  5. Step 5: Solve for x
    x = 351,933,688,671,738,081,050,624/292,507,671,242
  6. Step 6: Final answer
    x = 1,203,160,543,371.09

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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.