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Finding the Third Proportional to 784,545,998,760 and 1,121,902,114,284

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Solution

The third proportional to 784,545,998,760 and 1,121,902,114,284 is: 1,604,321,933,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,545,998,760 : 1,121,902,114,284 = 1,121,902,114,284 : x
  2. Step 2: Convert to fraction form
    784,545,998,760/1,121,902,114,284 = 1,121,902,114,284/x
  3. Step 3: Cross multiply
    784,545,998,760x = 1,121,902,114,284 × 1,121,902,114,284
  4. Step 4: Simplify right side
    784,545,998,760x = 1,258,664,354,034,909,425,172,480
  5. Step 5: Solve for x
    x = 1,258,664,354,034,909,425,172,480/784,545,998,760
  6. Step 6: Final answer
    x = 1,604,321,933,990.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.