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Finding the Third Proportional to 387,353,361 and 829,967,765

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Solution

The third proportional to 387,353,361 and 829,967,765 is: 1,778,341,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,353,361 : 829,967,765 = 829,967,765 : x
  2. Step 2: Convert to fraction form
    387,353,361/829,967,765 = 829,967,765/x
  3. Step 3: Cross multiply
    387,353,361x = 829,967,765 × 829,967,765
  4. Step 4: Simplify right side
    387,353,361x = 688,846,490,939,095,168
  5. Step 5: Solve for x
    x = 688,846,490,939,095,168/387,353,361
  6. Step 6: Final answer
    x = 1,778,341,329.38

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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.