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Finding the Third Proportional to 233,720,512 and 364,729,776

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Solution

The third proportional to 233,720,512 and 364,729,776 is: 569,174,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,720,512 : 364,729,776 = 364,729,776 : x
  2. Step 2: Convert to fraction form
    233,720,512/364,729,776 = 364,729,776/x
  3. Step 3: Cross multiply
    233,720,512x = 364,729,776 × 364,729,776
  4. Step 4: Simplify right side
    233,720,512x = 133,027,809,501,010,176
  5. Step 5: Solve for x
    x = 133,027,809,501,010,176/233,720,512
  6. Step 6: Final answer
    x = 569,174,730.80

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.