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Finding the Third Proportional to 252,834,266,882 and 365,301,854,175

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Solution

The third proportional to 252,834,266,882 and 365,301,854,175 is: 527,798,095,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,834,266,882 : 365,301,854,175 = 365,301,854,175 : x
  2. Step 2: Convert to fraction form
    252,834,266,882/365,301,854,175 = 365,301,854,175/x
  3. Step 3: Cross multiply
    252,834,266,882x = 365,301,854,175 × 365,301,854,175
  4. Step 4: Simplify right side
    252,834,266,882x = 133,445,444,663,692,970,950,656
  5. Step 5: Solve for x
    x = 133,445,444,663,692,970,950,656/252,834,266,882
  6. Step 6: Final answer
    x = 527,798,095,999.28

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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.