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Finding the Third Proportional to 10,498,739 and 21,835,534

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Solution

The third proportional to 10,498,739 and 21,835,534 is: 45,414,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498,739 : 21,835,534 = 21,835,534 : x
  2. Step 2: Convert to fraction form
    10,498,739/21,835,534 = 21,835,534/x
  3. Step 3: Cross multiply
    10,498,739x = 21,835,534 × 21,835,534
  4. Step 4: Simplify right side
    10,498,739x = 476,790,545,065,156
  5. Step 5: Solve for x
    x = 476,790,545,065,156/10,498,739
  6. Step 6: Final answer
    x = 45,414,077.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.