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Finding the Third Proportional to 818,215,091 and 1,789,482,274

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Solution

The third proportional to 818,215,091 and 1,789,482,274 is: 3,913,698,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,215,091 : 1,789,482,274 = 1,789,482,274 : x
  2. Step 2: Convert to fraction form
    818,215,091/1,789,482,274 = 1,789,482,274/x
  3. Step 3: Cross multiply
    818,215,091x = 1,789,482,274 × 1,789,482,274
  4. Step 4: Simplify right side
    818,215,091x = 3,202,246,808,960,210,944
  5. Step 5: Solve for x
    x = 3,202,246,808,960,210,944/818,215,091
  6. Step 6: Final answer
    x = 3,913,698,053.46

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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.