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Finding the Third Proportional to 301,822,128 and 646,671,312

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Solution

The third proportional to 301,822,128 and 646,671,312 is: 1,385,530,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,822,128 : 646,671,312 = 646,671,312 : x
  2. Step 2: Convert to fraction form
    301,822,128/646,671,312 = 646,671,312/x
  3. Step 3: Cross multiply
    301,822,128x = 646,671,312 × 646,671,312
  4. Step 4: Simplify right side
    301,822,128x = 418,183,785,763,801,344
  5. Step 5: Solve for x
    x = 418,183,785,763,801,344/301,822,128
  6. Step 6: Final answer
    x = 1,385,530,572.38

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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.