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Finding the Third Proportional to 450,212,880 and 975,567,882

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Solution

The third proportional to 450,212,880 and 975,567,882 is: 2,113,961,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,212,880 : 975,567,882 = 975,567,882 : x
  2. Step 2: Convert to fraction form
    450,212,880/975,567,882 = 975,567,882/x
  3. Step 3: Cross multiply
    450,212,880x = 975,567,882 × 975,567,882
  4. Step 4: Simplify right side
    450,212,880x = 951,732,692,389,965,952
  5. Step 5: Solve for x
    x = 951,732,692,389,965,952/450,212,880
  6. Step 6: Final answer
    x = 2,113,961,493.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.