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Finding the Third Proportional to 264,089,841,344 and 572,032,111,000

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Solution

The third proportional to 264,089,841,344 and 572,032,111,000 is: 1,239,050,825,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,089,841,344 : 572,032,111,000 = 572,032,111,000 : x
  2. Step 2: Convert to fraction form
    264,089,841,344/572,032,111,000 = 572,032,111,000/x
  3. Step 3: Cross multiply
    264,089,841,344x = 572,032,111,000 × 572,032,111,000
  4. Step 4: Simplify right side
    264,089,841,344x = 327,220,736,015,116,288,393,216
  5. Step 5: Solve for x
    x = 327,220,736,015,116,288,393,216/264,089,841,344
  6. Step 6: Final answer
    x = 1,239,050,825,847.11

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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.