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Finding the Third Proportional to 272,850,926.63 and 419,395,883.63

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Solution

The third proportional to 272,850,926.63 and 419,395,883.63 is: 644,648,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,850,926.63 : 419,395,883.63 = 419,395,883.63 : x
  2. Step 2: Convert to fraction form
    272,850,926.63/419,395,883.63 = 419,395,883.63/x
  3. Step 3: Cross multiply
    272,850,926.63x = 419,395,883.63 × 419,395,883.63
  4. Step 4: Simplify right side
    272,850,926.63x = 175,892,907,201,594,528
  5. Step 5: Solve for x
    x = 175,892,907,201,594,528/272,850,926.63
  6. Step 6: Final answer
    x = 644,648,377.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.