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Finding the Third Proportional to 952,658,153 and 2,043,156,436

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Solution

The third proportional to 952,658,153 and 2,043,156,436 is: 4,381,937,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,658,153 : 2,043,156,436 = 2,043,156,436 : x
  2. Step 2: Convert to fraction form
    952,658,153/2,043,156,436 = 2,043,156,436/x
  3. Step 3: Cross multiply
    952,658,153x = 2,043,156,436 × 2,043,156,436
  4. Step 4: Simplify right side
    952,658,153x = 4,174,488,221,968,222,208
  5. Step 5: Solve for x
    x = 4,174,488,221,968,222,208/952,658,153
  6. Step 6: Final answer
    x = 4,381,937,223.57

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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.