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Finding the Third Proportional to 292,507,676,087 and 593,240,001,939

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Solution

The third proportional to 292,507,676,087 and 593,240,001,939 is: 1,203,160,561,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,507,676,087 : 593,240,001,939 = 593,240,001,939 : x
  2. Step 2: Convert to fraction form
    292,507,676,087/593,240,001,939 = 593,240,001,939/x
  3. Step 3: Cross multiply
    292,507,676,087x = 593,240,001,939 × 593,240,001,939
  4. Step 4: Simplify right side
    292,507,676,087x = 351,933,699,900,584,734,228,480
  5. Step 5: Solve for x
    x = 351,933,699,900,584,734,228,480/292,507,676,087
  6. Step 6: Final answer
    x = 1,203,160,561,830.55

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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.