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Finding the Third Proportional to 11,300,693 and 24,527,857.50

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Solution

The third proportional to 11,300,693 and 24,527,857.50 is: 53,237,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300,693 : 24,527,857.50 = 24,527,857.50 : x
  2. Step 2: Convert to fraction form
    11,300,693/24,527,857.50 = 24,527,857.50/x
  3. Step 3: Cross multiply
    11,300,693x = 24,527,857.50 × 24,527,857.50
  4. Step 4: Simplify right side
    11,300,693x = 601,615,793,540,306.25
  5. Step 5: Solve for x
    x = 601,615,793,540,306.25/11,300,693
  6. Step 6: Final answer
    x = 53,237,070.82

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