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Finding the Third Proportional to 952,658,159 and 2,043,156,448

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Solution

The third proportional to 952,658,159 and 2,043,156,448 is: 4,381,937,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,658,159 : 2,043,156,448 = 2,043,156,448 : x
  2. Step 2: Convert to fraction form
    952,658,159/2,043,156,448 = 2,043,156,448/x
  3. Step 3: Cross multiply
    952,658,159x = 2,043,156,448 × 2,043,156,448
  4. Step 4: Simplify right side
    952,658,159x = 4,174,488,271,003,976,704
  5. Step 5: Solve for x
    x = 4,174,488,271,003,976,704/952,658,159
  6. Step 6: Final answer
    x = 4,381,937,247.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.