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Finding the Third Proportional to 147,686,994 and 323,715,240

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Solution

The third proportional to 147,686,994 and 323,715,240 is: 709,551,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,686,994 : 323,715,240 = 323,715,240 : x
  2. Step 2: Convert to fraction form
    147,686,994/323,715,240 = 323,715,240/x
  3. Step 3: Cross multiply
    147,686,994x = 323,715,240 × 323,715,240
  4. Step 4: Simplify right side
    147,686,994x = 104,791,556,608,257,600
  5. Step 5: Solve for x
    x = 104,791,556,608,257,600/147,686,994
  6. Step 6: Final answer
    x = 709,551,692.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.