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Finding the Third Proportional to 217,613,358 and 477,977,268

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Solution

The third proportional to 217,613,358 and 477,977,268 is: 1,049,854,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,613,358 : 477,977,268 = 477,977,268 : x
  2. Step 2: Convert to fraction form
    217,613,358/477,977,268 = 477,977,268/x
  3. Step 3: Cross multiply
    217,613,358x = 477,977,268 × 477,977,268
  4. Step 4: Simplify right side
    217,613,358x = 228,462,268,724,743,808
  5. Step 5: Solve for x
    x = 228,462,268,724,743,808/217,613,358
  6. Step 6: Final answer
    x = 1,049,854,066.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.