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Finding the Third Proportional to 301,822,052 and 646,671,142

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Solution

The third proportional to 301,822,052 and 646,671,142 is: 1,385,530,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,822,052 : 646,671,142 = 646,671,142 : x
  2. Step 2: Convert to fraction form
    301,822,052/646,671,142 = 646,671,142/x
  3. Step 3: Cross multiply
    301,822,052x = 646,671,142 × 646,671,142
  4. Step 4: Simplify right side
    301,822,052x = 418,183,565,895,584,192
  5. Step 5: Solve for x
    x = 418,183,565,895,584,192/301,822,052
  6. Step 6: Final answer
    x = 1,385,530,192.79

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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.