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Finding the Third Proportional to 10,457,804.25 and 22,652,226

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Solution

The third proportional to 10,457,804.25 and 22,652,226 is: 49,066,068.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457,804.25 : 22,652,226 = 22,652,226 : x
  2. Step 2: Convert to fraction form
    10,457,804.25/22,652,226 = 22,652,226/x
  3. Step 3: Cross multiply
    10,457,804.25x = 22,652,226 × 22,652,226
  4. Step 4: Simplify right side
    10,457,804.25x = 513,123,342,755,076
  5. Step 5: Solve for x
    x = 513,123,342,755,076/10,457,804.25
  6. Step 6: Final answer
    x = 49,066,068.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.