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Finding the Third Proportional to 420,428,299.50 and 920,034,040.50

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Solution

The third proportional to 420,428,299.50 and 920,034,040.50 is: 2,013,334,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,428,299.50 : 920,034,040.50 = 920,034,040.50 : x
  2. Step 2: Convert to fraction form
    420,428,299.50/920,034,040.50 = 920,034,040.50/x
  3. Step 3: Cross multiply
    420,428,299.50x = 920,034,040.50 × 920,034,040.50
  4. Step 4: Simplify right side
    420,428,299.50x = 846,462,635,678,755,584
  5. Step 5: Solve for x
    x = 846,462,635,678,755,584/420,428,299.50
  6. Step 6: Final answer
    x = 2,013,334,108.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.