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Finding the Third Proportional to 293,527,356.19 and 629,072,266.78

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Solution

The third proportional to 293,527,356.19 and 629,072,266.78 is: 1,348,194,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,527,356.19 : 629,072,266.78 = 629,072,266.78 : x
  2. Step 2: Convert to fraction form
    293,527,356.19/629,072,266.78 = 629,072,266.78/x
  3. Step 3: Cross multiply
    293,527,356.19x = 629,072,266.78 × 629,072,266.78
  4. Step 4: Simplify right side
    293,527,356.19x = 395,731,916,833,300,160
  5. Step 5: Solve for x
    x = 395,731,916,833,300,160/293,527,356.19
  6. Step 6: Final answer
    x = 1,348,194,328.37

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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.