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Finding the Third Proportional to 335,966,902 and 733,477,340

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Solution

The third proportional to 335,966,902 and 733,477,340 is: 1,601,315,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,966,902 : 733,477,340 = 733,477,340 : x
  2. Step 2: Convert to fraction form
    335,966,902/733,477,340 = 733,477,340/x
  3. Step 3: Cross multiply
    335,966,902x = 733,477,340 × 733,477,340
  4. Step 4: Simplify right side
    335,966,902x = 537,989,008,293,475,584
  5. Step 5: Solve for x
    x = 537,989,008,293,475,584/335,966,902
  6. Step 6: Final answer
    x = 1,601,315,501.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.