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Finding the Third Proportional to 217,667,909 and 473,598,887

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Solution

The third proportional to 217,667,909 and 473,598,887 is: 1,030,450,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,667,909 : 473,598,887 = 473,598,887 : x
  2. Step 2: Convert to fraction form
    217,667,909/473,598,887 = 473,598,887/x
  3. Step 3: Cross multiply
    217,667,909x = 473,598,887 × 473,598,887
  4. Step 4: Simplify right side
    217,667,909x = 224,295,905,767,638,784
  5. Step 5: Solve for x
    x = 224,295,905,767,638,784/217,667,909
  6. Step 6: Final answer
    x = 1,030,450,041.07

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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.