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Finding the Third Proportional to 365,235,905.63 and 782,187,673.50

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Solution

The third proportional to 365,235,905.63 and 782,187,673.50 is: 1,675,129,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,235,905.63 : 782,187,673.50 = 782,187,673.50 : x
  2. Step 2: Convert to fraction form
    365,235,905.63/782,187,673.50 = 782,187,673.50/x
  3. Step 3: Cross multiply
    365,235,905.63x = 782,187,673.50 × 782,187,673.50
  4. Step 4: Simplify right side
    365,235,905.63x = 611,817,556,575,342,592
  5. Step 5: Solve for x
    x = 611,817,556,575,342,592/365,235,905.63
  6. Step 6: Final answer
    x = 1,675,129,819.26

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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.