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Finding the Third Proportional to 663,717,600 and 956,043,216

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Solution

The third proportional to 663,717,600 and 956,043,216 is: 1,377,119,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,717,600 : 956,043,216 = 956,043,216 : x
  2. Step 2: Convert to fraction form
    663,717,600/956,043,216 = 956,043,216/x
  3. Step 3: Cross multiply
    663,717,600x = 956,043,216 × 956,043,216
  4. Step 4: Simplify right side
    663,717,600x = 914,018,630,859,622,656
  5. Step 5: Solve for x
    x = 914,018,630,859,622,656/663,717,600
  6. Step 6: Final answer
    x = 1,377,119,773.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.