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Finding the Third Proportional to 10,413,142.88 and 22,426,555.50

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Solution

The third proportional to 10,413,142.88 and 22,426,555.50 is: 48,299,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413,142.88 : 22,426,555.50 = 22,426,555.50 : x
  2. Step 2: Convert to fraction form
    10,413,142.88/22,426,555.50 = 22,426,555.50/x
  3. Step 3: Cross multiply
    10,413,142.88x = 22,426,555.50 × 22,426,555.50
  4. Step 4: Simplify right side
    10,413,142.88x = 502,950,391,594,580.25
  5. Step 5: Solve for x
    x = 502,950,391,594,580.25/10,413,142.88
  6. Step 6: Final answer
    x = 48,299,576.57

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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.