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Finding the Third Proportional to 836,758,897 and 1,824,181,478

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Solution

The third proportional to 836,758,897 and 1,824,181,478 is: 3,976,818,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,758,897 : 1,824,181,478 = 1,824,181,478 : x
  2. Step 2: Convert to fraction form
    836,758,897/1,824,181,478 = 1,824,181,478/x
  3. Step 3: Cross multiply
    836,758,897x = 1,824,181,478 × 1,824,181,478
  4. Step 4: Simplify right side
    836,758,897x = 3,327,638,064,678,264,320
  5. Step 5: Solve for x
    x = 3,327,638,064,678,264,320/836,758,897
  6. Step 6: Final answer
    x = 3,976,818,264.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.