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Finding the Third Proportional to 446,357,952 and 961,113,600

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Solution

The third proportional to 446,357,952 and 961,113,600 is: 2,069,503,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,357,952 : 961,113,600 = 961,113,600 : x
  2. Step 2: Convert to fraction form
    446,357,952/961,113,600 = 961,113,600/x
  3. Step 3: Cross multiply
    446,357,952x = 961,113,600 × 961,113,600
  4. Step 4: Simplify right side
    446,357,952x = 923,739,352,104,960,000
  5. Step 5: Solve for x
    x = 923,739,352,104,960,000/446,357,952
  6. Step 6: Final answer
    x = 2,069,503,518.34

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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.