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Finding the Third Proportional to 217,675,560 and 473,613,412

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Solution

The third proportional to 217,675,560 and 473,613,412 is: 1,030,477,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,675,560 : 473,613,412 = 473,613,412 : x
  2. Step 2: Convert to fraction form
    217,675,560/473,613,412 = 473,613,412/x
  3. Step 3: Cross multiply
    217,675,560x = 473,613,412 × 473,613,412
  4. Step 4: Simplify right side
    217,675,560x = 224,309,664,026,281,728
  5. Step 5: Solve for x
    x = 224,309,664,026,281,728/217,675,560
  6. Step 6: Final answer
    x = 1,030,477,027.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.