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Finding the Third Proportional to 688,232,020.50 and 1,052,097,610.50

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Solution

The third proportional to 688,232,020.50 and 1,052,097,610.50 is: 1,608,337,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,232,020.50 : 1,052,097,610.50 = 1,052,097,610.50 : x
  2. Step 2: Convert to fraction form
    688,232,020.50/1,052,097,610.50 = 1,052,097,610.50/x
  3. Step 3: Cross multiply
    688,232,020.50x = 1,052,097,610.50 × 1,052,097,610.50
  4. Step 4: Simplify right side
    688,232,020.50x = 1,106,909,382,019,809,664
  5. Step 5: Solve for x
    x = 1,106,909,382,019,809,664/688,232,020.50
  6. Step 6: Final answer
    x = 1,608,337,521.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.