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Finding the Third Proportional to 10,496,309 and 17,139,527.50

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Solution

The third proportional to 10,496,309 and 17,139,527.50 is: 27,987,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496,309 : 17,139,527.50 = 17,139,527.50 : x
  2. Step 2: Convert to fraction form
    10,496,309/17,139,527.50 = 17,139,527.50/x
  3. Step 3: Cross multiply
    10,496,309x = 17,139,527.50 × 17,139,527.50
  4. Step 4: Simplify right side
    10,496,309x = 293,763,402,923,256.25
  5. Step 5: Solve for x
    x = 293,763,402,923,256.25/10,496,309
  6. Step 6: Final answer
    x = 27,987,305.15

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.