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Finding the Third Proportional to 294,460,166 and 637,994,371

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Solution

The third proportional to 294,460,166 and 637,994,371 is: 1,382,315,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,460,166 : 637,994,371 = 637,994,371 : x
  2. Step 2: Convert to fraction form
    294,460,166/637,994,371 = 637,994,371/x
  3. Step 3: Cross multiply
    294,460,166x = 637,994,371 × 637,994,371
  4. Step 4: Simplify right side
    294,460,166x = 407,036,817,427,685,632
  5. Step 5: Solve for x
    x = 407,036,817,427,685,632/294,460,166
  6. Step 6: Final answer
    x = 1,382,315,383.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.