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Finding the Third Proportional to 2,359,095,935 and 3,662,946,174

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Solution

The third proportional to 2,359,095,935 and 3,662,946,174 is: 5,687,422,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359,095,935 : 3,662,946,174 = 3,662,946,174 : x
  2. Step 2: Convert to fraction form
    2,359,095,935/3,662,946,174 = 3,662,946,174/x
  3. Step 3: Cross multiply
    2,359,095,935x = 3,662,946,174 × 3,662,946,174
  4. Step 4: Simplify right side
    2,359,095,935x = 13,417,174,673,621,237,760
  5. Step 5: Solve for x
    x = 13,417,174,673,621,237,760/2,359,095,935
  6. Step 6: Final answer
    x = 5,687,422,234.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.