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Finding the Third Proportional to 215,227,425,340.50 and 462,395,293,435.50

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Solution

The third proportional to 215,227,425,340.50 and 462,395,293,435.50 is: 993,411,536,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,227,425,340.50 : 462,395,293,435.50 = 462,395,293,435.50 : x
  2. Step 2: Convert to fraction form
    215,227,425,340.50/462,395,293,435.50 = 462,395,293,435.50/x
  3. Step 3: Cross multiply
    215,227,425,340.50x = 462,395,293,435.50 × 462,395,293,435.50
  4. Step 4: Simplify right side
    215,227,425,340.50x = 213,809,407,391,302,160,482,304
  5. Step 5: Solve for x
    x = 213,809,407,391,302,160,482,304/215,227,425,340.50
  6. Step 6: Final answer
    x = 993,411,536,903.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.