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Finding the Third Proportional to 264,089,841,327 and 572,032,110,960

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Solution

The third proportional to 264,089,841,327 and 572,032,110,960 is: 1,239,050,825,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,089,841,327 : 572,032,110,960 = 572,032,110,960 : x
  2. Step 2: Convert to fraction form
    264,089,841,327/572,032,110,960 = 572,032,110,960/x
  3. Step 3: Cross multiply
    264,089,841,327x = 572,032,110,960 × 572,032,110,960
  4. Step 4: Simplify right side
    264,089,841,327x = 327,220,735,969,353,747,398,656
  5. Step 5: Solve for x
    x = 327,220,735,969,353,747,398,656/264,089,841,327
  6. Step 6: Final answer
    x = 1,239,050,825,753.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.