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Finding the Third Proportional to 51,902,535 and 110,513,814

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Solution

The third proportional to 51,902,535 and 110,513,814 is: 235,312,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,902,535 : 110,513,814 = 110,513,814 : x
  2. Step 2: Convert to fraction form
    51,902,535/110,513,814 = 110,513,814/x
  3. Step 3: Cross multiply
    51,902,535x = 110,513,814 × 110,513,814
  4. Step 4: Simplify right side
    51,902,535x = 12,213,303,084,826,596
  5. Step 5: Solve for x
    x = 12,213,303,084,826,596/51,902,535
  6. Step 6: Final answer
    x = 235,312,265.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.