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Finding the Third Proportional to 446,942,424.94 and 962,191,582.88

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Solution

The third proportional to 446,942,424.94 and 962,191,582.88 is: 2,071,436,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,942,424.94 : 962,191,582.88 = 962,191,582.88 : x
  2. Step 2: Convert to fraction form
    446,942,424.94/962,191,582.88 = 962,191,582.88/x
  3. Step 3: Cross multiply
    446,942,424.94x = 962,191,582.88 × 962,191,582.88
  4. Step 4: Simplify right side
    446,942,424.94x = 925,812,642,155,497,984
  5. Step 5: Solve for x
    x = 925,812,642,155,497,984/446,942,424.94
  6. Step 6: Final answer
    x = 2,071,436,029.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.