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Finding the Third Proportional to 379,653,399 and 832,247,703

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Solution

The third proportional to 379,653,399 and 832,247,703 is: 1,824,390,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,653,399 : 832,247,703 = 832,247,703 : x
  2. Step 2: Convert to fraction form
    379,653,399/832,247,703 = 832,247,703/x
  3. Step 3: Cross multiply
    379,653,399x = 832,247,703 × 832,247,703
  4. Step 4: Simplify right side
    379,653,399x = 692,636,239,148,776,192
  5. Step 5: Solve for x
    x = 692,636,239,148,776,192/379,653,399
  6. Step 6: Final answer
    x = 1,824,390,986.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.