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Finding the Third Proportional to 282,305,353.50 and 611,510,374.50

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Solution

The third proportional to 282,305,353.50 and 611,510,374.50 is: 1,324,611,572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,305,353.50 : 611,510,374.50 = 611,510,374.50 : x
  2. Step 2: Convert to fraction form
    282,305,353.50/611,510,374.50 = 611,510,374.50/x
  3. Step 3: Cross multiply
    282,305,353.50x = 611,510,374.50 × 611,510,374.50
  4. Step 4: Simplify right side
    282,305,353.50x = 373,944,938,121,130,240
  5. Step 5: Solve for x
    x = 373,944,938,121,130,240/282,305,353.50
  6. Step 6: Final answer
    x = 1,324,611,572.13

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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.