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Finding the Third Proportional to 290,101,330 and 626,144,179

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Solution

The third proportional to 290,101,330 and 626,144,179 is: 1,351,446,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,101,330 : 626,144,179 = 626,144,179 : x
  2. Step 2: Convert to fraction form
    290,101,330/626,144,179 = 626,144,179/x
  3. Step 3: Cross multiply
    290,101,330x = 626,144,179 × 626,144,179
  4. Step 4: Simplify right side
    290,101,330x = 392,056,532,895,584,064
  5. Step 5: Solve for x
    x = 392,056,532,895,584,064/290,101,330
  6. Step 6: Final answer
    x = 1,351,446,864.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.