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Finding the Third Proportional to 292,507,676,085 and 593,240,001,935

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Solution

The third proportional to 292,507,676,085 and 593,240,001,935 is: 1,203,160,561,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,507,676,085 : 593,240,001,935 = 593,240,001,935 : x
  2. Step 2: Convert to fraction form
    292,507,676,085/593,240,001,935 = 593,240,001,935/x
  3. Step 3: Cross multiply
    292,507,676,085x = 593,240,001,935 × 593,240,001,935
  4. Step 4: Simplify right side
    292,507,676,085x = 351,933,699,895,838,795,366,400
  5. Step 5: Solve for x
    x = 351,933,699,895,838,795,366,400/292,507,676,085
  6. Step 6: Final answer
    x = 1,203,160,561,822.56

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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.