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Finding the Third Proportional to 836,758,898 and 1,824,181,482

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Solution

The third proportional to 836,758,898 and 1,824,181,482 is: 3,976,818,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,758,898 : 1,824,181,482 = 1,824,181,482 : x
  2. Step 2: Convert to fraction form
    836,758,898/1,824,181,482 = 1,824,181,482/x
  3. Step 3: Cross multiply
    836,758,898x = 1,824,181,482 × 1,824,181,482
  4. Step 4: Simplify right side
    836,758,898x = 3,327,638,079,271,716,352
  5. Step 5: Solve for x
    x = 3,327,638,079,271,716,352/836,758,898
  6. Step 6: Final answer
    x = 3,976,818,277.31

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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.