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Finding the Third Proportional to 4,642,421.06 and 10,181,650.50

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Solution

The third proportional to 4,642,421.06 and 10,181,650.50 is: 22,330,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642,421.06 : 10,181,650.50 = 10,181,650.50 : x
  2. Step 2: Convert to fraction form
    4,642,421.06/10,181,650.50 = 10,181,650.50/x
  3. Step 3: Cross multiply
    4,642,421.06x = 10,181,650.50 × 10,181,650.50
  4. Step 4: Simplify right side
    4,642,421.06x = 103,666,006,904,150.25
  5. Step 5: Solve for x
    x = 103,666,006,904,150.25/4,642,421.06
  6. Step 6: Final answer
    x = 22,330,160.39

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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.