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Finding the Third Proportional to 829,206,564 and 1,814,618,184

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Solution

The third proportional to 829,206,564 and 1,814,618,184 is: 3,971,072,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,206,564 : 1,814,618,184 = 1,814,618,184 : x
  2. Step 2: Convert to fraction form
    829,206,564/1,814,618,184 = 1,814,618,184/x
  3. Step 3: Cross multiply
    829,206,564x = 1,814,618,184 × 1,814,618,184
  4. Step 4: Simplify right side
    829,206,564x = 3,292,839,153,703,457,792
  5. Step 5: Solve for x
    x = 3,292,839,153,703,457,792/829,206,564
  6. Step 6: Final answer
    x = 3,971,072,223.33

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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.