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Finding the Third Proportional to 353,139,302 and 760,249,027

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Solution

The third proportional to 353,139,302 and 760,249,027 is: 1,636,687,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,139,302 : 760,249,027 = 760,249,027 : x
  2. Step 2: Convert to fraction form
    353,139,302/760,249,027 = 760,249,027/x
  3. Step 3: Cross multiply
    353,139,302x = 760,249,027 × 760,249,027
  4. Step 4: Simplify right side
    353,139,302x = 577,978,583,054,446,720
  5. Step 5: Solve for x
    x = 577,978,583,054,446,720/353,139,302
  6. Step 6: Final answer
    x = 1,636,687,221.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.