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Finding the Third Proportional to 323,020,852 and 700,558,952

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Solution

The third proportional to 323,020,852 and 700,558,952 is: 1,519,353,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,020,852 : 700,558,952 = 700,558,952 : x
  2. Step 2: Convert to fraction form
    323,020,852/700,558,952 = 700,558,952/x
  3. Step 3: Cross multiply
    323,020,852x = 700,558,952 × 700,558,952
  4. Step 4: Simplify right side
    323,020,852x = 490,782,845,227,338,304
  5. Step 5: Solve for x
    x = 490,782,845,227,338,304/323,020,852
  6. Step 6: Final answer
    x = 1,519,353,447.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.