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Finding the Third Proportional to 333,155,969,243 and 507,540,074,204

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Solution

The third proportional to 333,155,969,243 and 507,540,074,204 is: 773,202,195,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,155,969,243 : 507,540,074,204 = 507,540,074,204 : x
  2. Step 2: Convert to fraction form
    333,155,969,243/507,540,074,204 = 507,540,074,204/x
  3. Step 3: Cross multiply
    333,155,969,243x = 507,540,074,204 × 507,540,074,204
  4. Step 4: Simplify right side
    333,155,969,243x = 257,596,926,923,001,835,814,912
  5. Step 5: Solve for x
    x = 257,596,926,923,001,835,814,912/333,155,969,243
  6. Step 6: Final answer
    x = 773,202,195,681.25

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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.