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Finding the Third Proportional to 690,480,147 and 1,478,902,902

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Solution

The third proportional to 690,480,147 and 1,478,902,902 is: 3,167,583,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,480,147 : 1,478,902,902 = 1,478,902,902 : x
  2. Step 2: Convert to fraction form
    690,480,147/1,478,902,902 = 1,478,902,902/x
  3. Step 3: Cross multiply
    690,480,147x = 1,478,902,902 × 1,478,902,902
  4. Step 4: Simplify right side
    690,480,147x = 2,187,153,793,544,021,504
  5. Step 5: Solve for x
    x = 2,187,153,793,544,021,504/690,480,147
  6. Step 6: Final answer
    x = 3,167,583,895.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.