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Finding the Third Proportional to 11,602,460.25 and 24,588,030.94

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Solution

The third proportional to 11,602,460.25 and 24,588,030.94 is: 52,107,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602,460.25 : 24,588,030.94 = 24,588,030.94 : x
  2. Step 2: Convert to fraction form
    11,602,460.25/24,588,030.94 = 24,588,030.94/x
  3. Step 3: Cross multiply
    11,602,460.25x = 24,588,030.94 × 24,588,030.94
  4. Step 4: Simplify right side
    11,602,460.25x = 604,571,265,383,457.12
  5. Step 5: Solve for x
    x = 604,571,265,383,457.12/11,602,460.25
  6. Step 6: Final answer
    x = 52,107,161.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.