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Finding the Third Proportional to 264,089,841,324.76 and 572,032,110,955.50

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Solution

The third proportional to 264,089,841,324.76 and 572,032,110,955.50 is: 1,239,050,825,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,089,841,324.76 : 572,032,110,955.50 = 572,032,110,955.50 : x
  2. Step 2: Convert to fraction form
    264,089,841,324.76/572,032,110,955.50 = 572,032,110,955.50/x
  3. Step 3: Cross multiply
    264,089,841,324.76x = 572,032,110,955.50 × 572,032,110,955.50
  4. Step 4: Simplify right side
    264,089,841,324.76x = 327,220,735,964,205,490,896,896
  5. Step 5: Solve for x
    x = 327,220,735,964,205,490,896,896/264,089,841,324.76
  6. Step 6: Final answer
    x = 1,239,050,825,744.60

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