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Finding the Third Proportional to 11,570,599.13 and 24,678,932.63

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Solution

The third proportional to 11,570,599.13 and 24,678,932.63 is: 52,637,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570,599.13 : 24,678,932.63 = 24,678,932.63 : x
  2. Step 2: Convert to fraction form
    11,570,599.13/24,678,932.63 = 24,678,932.63/x
  3. Step 3: Cross multiply
    11,570,599.13x = 24,678,932.63 × 24,678,932.63
  4. Step 4: Simplify right side
    11,570,599.13x = 609,049,715,509,289.38
  5. Step 5: Solve for x
    x = 609,049,715,509,289.38/11,570,599.13
  6. Step 6: Final answer
    x = 52,637,699.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.