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Finding the Third Proportional to 670,413,711 and 1,443,287,505

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Solution

The third proportional to 670,413,711 and 1,443,287,505 is: 3,107,154,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,413,711 : 1,443,287,505 = 1,443,287,505 : x
  2. Step 2: Convert to fraction form
    670,413,711/1,443,287,505 = 1,443,287,505/x
  3. Step 3: Cross multiply
    670,413,711x = 1,443,287,505 × 1,443,287,505
  4. Step 4: Simplify right side
    670,413,711x = 2,083,078,822,089,125,120
  5. Step 5: Solve for x
    x = 2,083,078,822,089,125,120/670,413,711
  6. Step 6: Final answer
    x = 3,107,154,265.96

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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.