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Finding the Third Proportional to 849,952,512 and 1,250,623,824

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Solution

The third proportional to 849,952,512 and 1,250,623,824 is: 1,840,173,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,952,512 : 1,250,623,824 = 1,250,623,824 : x
  2. Step 2: Convert to fraction form
    849,952,512/1,250,623,824 = 1,250,623,824/x
  3. Step 3: Cross multiply
    849,952,512x = 1,250,623,824 × 1,250,623,824
  4. Step 4: Simplify right side
    849,952,512x = 1,564,059,949,156,382,976
  5. Step 5: Solve for x
    x = 1,564,059,949,156,382,976/849,952,512
  6. Step 6: Final answer
    x = 1,840,173,335.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.