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Finding the Third Proportional to 250,686,569,402 and 550,621,190,702

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Solution

The third proportional to 250,686,569,402 and 550,621,190,702 is: 1,209,413,397,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,686,569,402 : 550,621,190,702 = 550,621,190,702 : x
  2. Step 2: Convert to fraction form
    250,686,569,402/550,621,190,702 = 550,621,190,702/x
  3. Step 3: Cross multiply
    250,686,569,402x = 550,621,190,702 × 550,621,190,702
  4. Step 4: Simplify right side
    250,686,569,402x = 303,183,695,650,088,284,061,696
  5. Step 5: Solve for x
    x = 303,183,695,650,088,284,061,696/250,686,569,402
  6. Step 6: Final answer
    x = 1,209,413,397,667.52

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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.