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Finding the Third Proportional to 671,533,480 and 1,445,103,631

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Solution

The third proportional to 671,533,480 and 1,445,103,631 is: 3,109,784,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,533,480 : 1,445,103,631 = 1,445,103,631 : x
  2. Step 2: Convert to fraction form
    671,533,480/1,445,103,631 = 1,445,103,631/x
  3. Step 3: Cross multiply
    671,533,480x = 1,445,103,631 × 1,445,103,631
  4. Step 4: Simplify right side
    671,533,480x = 2,088,324,504,329,384,192
  5. Step 5: Solve for x
    x = 2,088,324,504,329,384,192/671,533,480
  6. Step 6: Final answer
    x = 3,109,784,644.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.