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Finding the Third Proportional to 285,206,856.75 and 624,886,416

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Solution

The third proportional to 285,206,856.75 and 624,886,416 is: 1,369,122,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,206,856.75 : 624,886,416 = 624,886,416 : x
  2. Step 2: Convert to fraction form
    285,206,856.75/624,886,416 = 624,886,416/x
  3. Step 3: Cross multiply
    285,206,856.75x = 624,886,416 × 624,886,416
  4. Step 4: Simplify right side
    285,206,856.75x = 390,483,032,901,325,056
  5. Step 5: Solve for x
    x = 390,483,032,901,325,056/285,206,856.75
  6. Step 6: Final answer
    x = 1,369,122,178.03

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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.