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Finding the Third Proportional to 836,758,893 and 1,824,181,470

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Solution

The third proportional to 836,758,893 and 1,824,181,470 is: 3,976,818,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,758,893 : 1,824,181,470 = 1,824,181,470 : x
  2. Step 2: Convert to fraction form
    836,758,893/1,824,181,470 = 1,824,181,470/x
  3. Step 3: Cross multiply
    836,758,893x = 1,824,181,470 × 1,824,181,470
  4. Step 4: Simplify right side
    836,758,893x = 3,327,638,035,491,360,768
  5. Step 5: Solve for x
    x = 3,327,638,035,491,360,768/836,758,893
  6. Step 6: Final answer
    x = 3,976,818,248.76

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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.