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Finding the Third Proportional to 446,942,421 and 962,191,575

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Solution

The third proportional to 446,942,421 and 962,191,575 is: 2,071,436,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,942,421 : 962,191,575 = 962,191,575 : x
  2. Step 2: Convert to fraction form
    446,942,421/962,191,575 = 962,191,575/x
  3. Step 3: Cross multiply
    446,942,421x = 962,191,575 × 962,191,575
  4. Step 4: Simplify right side
    446,942,421x = 925,812,627,000,980,608
  5. Step 5: Solve for x
    x = 925,812,627,000,980,608/446,942,421
  6. Step 6: Final answer
    x = 2,071,436,013.90

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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.