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Finding the Third Proportional to 818,215,089 and 1,789,482,270

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Solution

The third proportional to 818,215,089 and 1,789,482,270 is: 3,913,698,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,215,089 : 1,789,482,270 = 1,789,482,270 : x
  2. Step 2: Convert to fraction form
    818,215,089/1,789,482,270 = 1,789,482,270/x
  3. Step 3: Cross multiply
    818,215,089x = 1,789,482,270 × 1,789,482,270
  4. Step 4: Simplify right side
    818,215,089x = 3,202,246,794,644,353,024
  5. Step 5: Solve for x
    x = 3,202,246,794,644,353,024/818,215,089
  6. Step 6: Final answer
    x = 3,913,698,045.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.