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Finding the Third Proportional to 632,870,962.50 and 1,362,945,343.50

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Solution

The third proportional to 632,870,962.50 and 1,362,945,343.50 is: 2,935,227,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,870,962.50 : 1,362,945,343.50 = 1,362,945,343.50 : x
  2. Step 2: Convert to fraction form
    632,870,962.50/1,362,945,343.50 = 1,362,945,343.50/x
  3. Step 3: Cross multiply
    632,870,962.50x = 1,362,945,343.50 × 1,362,945,343.50
  4. Step 4: Simplify right side
    632,870,962.50x = 1,857,620,009,368,333,056
  5. Step 5: Solve for x
    x = 1,857,620,009,368,333,056/632,870,962.50
  6. Step 6: Final answer
    x = 2,935,227,114.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.