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Finding the Third Proportional to 957,005,322 and 1,433,911,416

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Solution

The third proportional to 957,005,322 and 1,433,911,416 is: 2,148,474,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,005,322 : 1,433,911,416 = 1,433,911,416 : x
  2. Step 2: Convert to fraction form
    957,005,322/1,433,911,416 = 1,433,911,416/x
  3. Step 3: Cross multiply
    957,005,322x = 1,433,911,416 × 1,433,911,416
  4. Step 4: Simplify right side
    957,005,322x = 2,056,101,948,935,124,992
  5. Step 5: Solve for x
    x = 2,056,101,948,935,124,992/957,005,322
  6. Step 6: Final answer
    x = 2,148,474,937.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.