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Finding the Third Proportional to 297,502,227 and 642,807,900

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Solution

The third proportional to 297,502,227 and 642,807,900 is: 1,388,903,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,502,227 : 642,807,900 = 642,807,900 : x
  2. Step 2: Convert to fraction form
    297,502,227/642,807,900 = 642,807,900/x
  3. Step 3: Cross multiply
    297,502,227x = 642,807,900 × 642,807,900
  4. Step 4: Simplify right side
    297,502,227x = 413,201,996,302,409,984
  5. Step 5: Solve for x
    x = 413,201,996,302,409,984/297,502,227
  6. Step 6: Final answer
    x = 1,388,903,876.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.