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Finding the Third Proportional to 302,833,849.50 and 647,636,755.50

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Solution

The third proportional to 302,833,849.50 and 647,636,755.50 is: 1,385,028,020.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,833,849.50 : 647,636,755.50 = 647,636,755.50 : x
  2. Step 2: Convert to fraction form
    302,833,849.50/647,636,755.50 = 647,636,755.50/x
  3. Step 3: Cross multiply
    302,833,849.50x = 647,636,755.50 × 647,636,755.50
  4. Step 4: Simplify right side
    302,833,849.50x = 419,433,367,074,566,784
  5. Step 5: Solve for x
    x = 419,433,367,074,566,784/302,833,849.50
  6. Step 6: Final answer
    x = 1,385,028,020.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.