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Finding the Third Proportional to 333,155,969,241 and 507,540,074,201

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Solution

The third proportional to 333,155,969,241 and 507,540,074,201 is: 773,202,195,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,155,969,241 : 507,540,074,201 = 507,540,074,201 : x
  2. Step 2: Convert to fraction form
    333,155,969,241/507,540,074,201 = 507,540,074,201/x
  3. Step 3: Cross multiply
    333,155,969,241x = 507,540,074,201 × 507,540,074,201
  4. Step 4: Simplify right side
    333,155,969,241x = 257,596,926,919,956,569,784,320
  5. Step 5: Solve for x
    x = 257,596,926,919,956,569,784,320/333,155,969,241
  6. Step 6: Final answer
    x = 773,202,195,676.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.