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Finding the Third Proportional to 21,711,994 and 47,741,854

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Solution

The third proportional to 21,711,994 and 47,741,854 is: 104,978,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711,994 : 47,741,854 = 47,741,854 : x
  2. Step 2: Convert to fraction form
    21,711,994/47,741,854 = 47,741,854/x
  3. Step 3: Cross multiply
    21,711,994x = 47,741,854 × 47,741,854
  4. Step 4: Simplify right side
    21,711,994x = 2,279,284,623,357,316
  5. Step 5: Solve for x
    x = 2,279,284,623,357,316/21,711,994
  6. Step 6: Final answer
    x = 104,978,134.36

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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.