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Finding the Third Proportional to 2,411,489,700 and 5,223,694,329

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Solution

The third proportional to 2,411,489,700 and 5,223,694,329 is: 11,315,404,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,489,700 : 5,223,694,329 = 5,223,694,329 : x
  2. Step 2: Convert to fraction form
    2,411,489,700/5,223,694,329 = 5,223,694,329/x
  3. Step 3: Cross multiply
    2,411,489,700x = 5,223,694,329 × 5,223,694,329
  4. Step 4: Simplify right side
    2,411,489,700x = 27,286,982,442,826,760,192
  5. Step 5: Solve for x
    x = 27,286,982,442,826,760,192/2,411,489,700
  6. Step 6: Final answer
    x = 11,315,404,931.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.