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Finding the Third Proportional to 252,834,266,880 and 365,301,854,172

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Solution

The third proportional to 252,834,266,880 and 365,301,854,172 is: 527,798,095,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,834,266,880 : 365,301,854,172 = 365,301,854,172 : x
  2. Step 2: Convert to fraction form
    252,834,266,880/365,301,854,172 = 365,301,854,172/x
  3. Step 3: Cross multiply
    252,834,266,880x = 365,301,854,172 × 365,301,854,172
  4. Step 4: Simplify right side
    252,834,266,880x = 133,445,444,661,501,161,897,984
  5. Step 5: Solve for x
    x = 133,445,444,661,501,161,897,984/252,834,266,880
  6. Step 6: Final answer
    x = 527,798,095,994.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.