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Finding the Third Proportional to 363,440,106 and 793,487,484

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Solution

The third proportional to 363,440,106 and 793,487,484 is: 1,732,396,554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,440,106 : 793,487,484 = 793,487,484 : x
  2. Step 2: Convert to fraction form
    363,440,106/793,487,484 = 793,487,484/x
  3. Step 3: Cross multiply
    363,440,106x = 793,487,484 × 793,487,484
  4. Step 4: Simplify right side
    363,440,106x = 629,622,387,264,650,240
  5. Step 5: Solve for x
    x = 629,622,387,264,650,240/363,440,106
  6. Step 6: Final answer
    x = 1,732,396,554.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.