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Finding the Third Proportional to 690,480,144 and 1,478,902,896

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Solution

The third proportional to 690,480,144 and 1,478,902,896 is: 3,167,583,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,480,144 : 1,478,902,896 = 1,478,902,896 : x
  2. Step 2: Convert to fraction form
    690,480,144/1,478,902,896 = 1,478,902,896/x
  3. Step 3: Cross multiply
    690,480,144x = 1,478,902,896 × 1,478,902,896
  4. Step 4: Simplify right side
    690,480,144x = 2,187,153,775,797,186,816
  5. Step 5: Solve for x
    x = 2,187,153,775,797,186,816/690,480,144
  6. Step 6: Final answer
    x = 3,167,583,883.19

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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.