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Finding the Third Proportional to 649,612,910 and 1,533,020,526

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Solution

The third proportional to 649,612,910 and 1,533,020,526 is: 3,617,772,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,612,910 : 1,533,020,526 = 1,533,020,526 : x
  2. Step 2: Convert to fraction form
    649,612,910/1,533,020,526 = 1,533,020,526/x
  3. Step 3: Cross multiply
    649,612,910x = 1,533,020,526 × 1,533,020,526
  4. Step 4: Simplify right side
    649,612,910x = 2,350,151,933,137,316,864
  5. Step 5: Solve for x
    x = 2,350,151,933,137,316,864/649,612,910
  6. Step 6: Final answer
    x = 3,617,772,825.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.