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Finding the Third Proportional to 10,972,645 and 24,117,259

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Solution

The third proportional to 10,972,645 and 24,117,259 is: 53,008,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972,645 : 24,117,259 = 24,117,259 : x
  2. Step 2: Convert to fraction form
    10,972,645/24,117,259 = 24,117,259/x
  3. Step 3: Cross multiply
    10,972,645x = 24,117,259 × 24,117,259
  4. Step 4: Simplify right side
    10,972,645x = 581,642,181,673,081
  5. Step 5: Solve for x
    x = 581,642,181,673,081/10,972,645
  6. Step 6: Final answer
    x = 53,008,384.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.