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Finding the Third Proportional to 10,670,646.38 and 23,415,252.19

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Solution

The third proportional to 10,670,646.38 and 23,415,252.19 is: 51,381,520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670,646.38 : 23,415,252.19 = 23,415,252.19 : x
  2. Step 2: Convert to fraction form
    10,670,646.38/23,415,252.19 = 23,415,252.19/x
  3. Step 3: Cross multiply
    10,670,646.38x = 23,415,252.19 × 23,415,252.19
  4. Step 4: Simplify right side
    10,670,646.38x = 548,274,035,004,223.56
  5. Step 5: Solve for x
    x = 548,274,035,004,223.56/10,670,646.38
  6. Step 6: Final answer
    x = 51,381,520.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.